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Finding the Third Proportional to 9,306.14 and 19,244.46

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Solution

The third proportional to 9,306.14 and 19,244.46 is: 39,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.14 : 19,244.46 = 19,244.46 : x
  2. Step 2: Convert to fraction form
    9,306.14/19,244.46 = 19,244.46/x
  3. Step 3: Cross multiply
    9,306.14x = 19,244.46 × 19,244.46
  4. Step 4: Simplify right side
    9,306.14x = 370,349,276.77
  5. Step 5: Solve for x
    x = 370,349,276.77/9,306.14
  6. Step 6: Final answer
    x = 39,796.23

Related Problems

Find third proportional to 4,653.07 and 9,622.23
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.