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Finding the Third Proportional to 31,792.50 and 62,785.13

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Solution

The third proportional to 31,792.50 and 62,785.13 is: 123,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.50 : 62,785.13 = 62,785.13 : x
  2. Step 2: Convert to fraction form
    31,792.50/62,785.13 = 62,785.13/x
  3. Step 3: Cross multiply
    31,792.50x = 62,785.13 × 62,785.13
  4. Step 4: Simplify right side
    31,792.50x = 3,941,971,921.27
  5. Step 5: Solve for x
    x = 3,941,971,921.27/31,792.50
  6. Step 6: Final answer
    x = 123,990.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.