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Finding the Third Proportional to 15,137 and 25,016

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Solution

The third proportional to 15,137 and 25,016 is: 41,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137 : 25,016 = 25,016 : x
  2. Step 2: Convert to fraction form
    15,137/25,016 = 25,016/x
  3. Step 3: Cross multiply
    15,137x = 25,016 × 25,016
  4. Step 4: Simplify right side
    15,137x = 625,800,256
  5. Step 5: Solve for x
    x = 625,800,256/15,137
  6. Step 6: Final answer
    x = 41,342.42

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.