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Finding the Third Proportional to 16,472 and 25,034

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Solution

The third proportional to 16,472 and 25,034 is: 38,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472 : 25,034 = 25,034 : x
  2. Step 2: Convert to fraction form
    16,472/25,034 = 25,034/x
  3. Step 3: Cross multiply
    16,472x = 25,034 × 25,034
  4. Step 4: Simplify right side
    16,472x = 626,701,156
  5. Step 5: Solve for x
    x = 626,701,156/16,472
  6. Step 6: Final answer
    x = 38,046.45

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Why These Related Problems?

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