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Finding the Third Proportional to 16,292 and 25,412

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Solution

The third proportional to 16,292 and 25,412 is: 39,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292 : 25,412 = 25,412 : x
  2. Step 2: Convert to fraction form
    16,292/25,412 = 25,412/x
  3. Step 3: Cross multiply
    16,292x = 25,412 × 25,412
  4. Step 4: Simplify right side
    16,292x = 645,769,744
  5. Step 5: Solve for x
    x = 645,769,744/16,292
  6. Step 6: Final answer
    x = 39,637.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.