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Finding the Third Proportional to 13,432.06 and 20,711.94

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Solution

The third proportional to 13,432.06 and 20,711.94 is: 31,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.06 : 20,711.94 = 20,711.94 : x
  2. Step 2: Convert to fraction form
    13,432.06/20,711.94 = 20,711.94/x
  3. Step 3: Cross multiply
    13,432.06x = 20,711.94 × 20,711.94
  4. Step 4: Simplify right side
    13,432.06x = 428,984,355.00
  5. Step 5: Solve for x
    x = 428,984,355.00/13,432.06
  6. Step 6: Final answer
    x = 31,937.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.