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Finding the Third Proportional to 9,257.63 and 19,127.81

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Solution

The third proportional to 9,257.63 and 19,127.81 is: 39,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.63 : 19,127.81 = 19,127.81 : x
  2. Step 2: Convert to fraction form
    9,257.63/19,127.81 = 19,127.81/x
  3. Step 3: Cross multiply
    9,257.63x = 19,127.81 × 19,127.81
  4. Step 4: Simplify right side
    9,257.63x = 365,873,211.04
  5. Step 5: Solve for x
    x = 365,873,211.04/9,257.63
  6. Step 6: Final answer
    x = 39,521.28

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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.