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Finding the Third Proportional to 16,940 and 25,747

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Solution

The third proportional to 16,940 and 25,747 is: 39,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940 : 25,747 = 25,747 : x
  2. Step 2: Convert to fraction form
    16,940/25,747 = 25,747/x
  3. Step 3: Cross multiply
    16,940x = 25,747 × 25,747
  4. Step 4: Simplify right side
    16,940x = 662,908,009
  5. Step 5: Solve for x
    x = 662,908,009/16,940
  6. Step 6: Final answer
    x = 39,132.70

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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.