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Finding the Third Proportional to 15,031 and 32,147

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Solution

The third proportional to 15,031 and 32,147 is: 68,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031 : 32,147 = 32,147 : x
  2. Step 2: Convert to fraction form
    15,031/32,147 = 32,147/x
  3. Step 3: Cross multiply
    15,031x = 32,147 × 32,147
  4. Step 4: Simplify right side
    15,031x = 1,033,429,609
  5. Step 5: Solve for x
    x = 1,033,429,609/15,031
  6. Step 6: Final answer
    x = 68,753.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.