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Finding the Third Proportional to 9,721.13 and 20,134.13

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Solution

The third proportional to 9,721.13 and 20,134.13 is: 41,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.13 : 20,134.13 = 20,134.13 : x
  2. Step 2: Convert to fraction form
    9,721.13/20,134.13 = 20,134.13/x
  3. Step 3: Cross multiply
    9,721.13x = 20,134.13 × 20,134.13
  4. Step 4: Simplify right side
    9,721.13x = 405,382,989.52
  5. Step 5: Solve for x
    x = 405,382,989.52/9,721.13
  6. Step 6: Final answer
    x = 41,701.24

Related Problems

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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.