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Finding the Third Proportional to 31,432.50 and 42,713.50

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Solution

The third proportional to 31,432.50 and 42,713.50 is: 58,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432.50 : 42,713.50 = 42,713.50 : x
  2. Step 2: Convert to fraction form
    31,432.50/42,713.50 = 42,713.50/x
  3. Step 3: Cross multiply
    31,432.50x = 42,713.50 × 42,713.50
  4. Step 4: Simplify right side
    31,432.50x = 1,824,443,082.25
  5. Step 5: Solve for x
    x = 1,824,443,082.25/31,432.50
  6. Step 6: Final answer
    x = 58,043.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.