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Finding the Third Proportional to 10,682 and 15,031

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Solution

The third proportional to 10,682 and 15,031 is: 21,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682 : 15,031 = 15,031 : x
  2. Step 2: Convert to fraction form
    10,682/15,031 = 15,031/x
  3. Step 3: Cross multiply
    10,682x = 15,031 × 15,031
  4. Step 4: Simplify right side
    10,682x = 225,930,961
  5. Step 5: Solve for x
    x = 225,930,961/10,682
  6. Step 6: Final answer
    x = 21,150.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.