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Finding the Third Proportional to 41,785 and 63,031

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Solution

The third proportional to 41,785 and 63,031 is: 95,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,785 : 63,031 = 63,031 : x
  2. Step 2: Convert to fraction form
    41,785/63,031 = 63,031/x
  3. Step 3: Cross multiply
    41,785x = 63,031 × 63,031
  4. Step 4: Simplify right side
    41,785x = 3,972,906,961
  5. Step 5: Solve for x
    x = 3,972,906,961/41,785
  6. Step 6: Final answer
    x = 95,079.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.