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Finding the Third Proportional to 31,792.50 and 67,807.13

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Solution

The third proportional to 31,792.50 and 67,807.13 is: 144,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.50 : 67,807.13 = 67,807.13 : x
  2. Step 2: Convert to fraction form
    31,792.50/67,807.13 = 67,807.13/x
  3. Step 3: Cross multiply
    31,792.50x = 67,807.13 × 67,807.13
  4. Step 4: Simplify right side
    31,792.50x = 4,597,806,200.77
  5. Step 5: Solve for x
    x = 4,597,806,200.77/31,792.50
  6. Step 6: Final answer
    x = 144,619.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.