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Finding the Third Proportional to 16,972.59 and 25,732.27

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Solution

The third proportional to 16,972.59 and 25,732.27 is: 39,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972.59 : 25,732.27 = 25,732.27 : x
  2. Step 2: Convert to fraction form
    16,972.59/25,732.27 = 25,732.27/x
  3. Step 3: Cross multiply
    16,972.59x = 25,732.27 × 25,732.27
  4. Step 4: Simplify right side
    16,972.59x = 662,149,494.20
  5. Step 5: Solve for x
    x = 662,149,494.20/16,972.59
  6. Step 6: Final answer
    x = 39,012.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.