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Finding the Third Proportional to 16,732 and 25,042

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Solution

The third proportional to 16,732 and 25,042 is: 37,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732 : 25,042 = 25,042 : x
  2. Step 2: Convert to fraction form
    16,732/25,042 = 25,042/x
  3. Step 3: Cross multiply
    16,732x = 25,042 × 25,042
  4. Step 4: Simplify right side
    16,732x = 627,101,764
  5. Step 5: Solve for x
    x = 627,101,764/16,732
  6. Step 6: Final answer
    x = 37,479.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.