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Finding the Third Proportional to 16,407 and 25,453.13

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Solution

The third proportional to 16,407 and 25,453.13 is: 39,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407 : 25,453.13 = 25,453.13 : x
  2. Step 2: Convert to fraction form
    16,407/25,453.13 = 25,453.13/x
  3. Step 3: Cross multiply
    16,407x = 25,453.13 × 25,453.13
  4. Step 4: Simplify right side
    16,407x = 647,861,572.27
  5. Step 5: Solve for x
    x = 647,861,572.27/16,407
  6. Step 6: Final answer
    x = 39,486.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.