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Finding the Third Proportional to 38,964 and 82,782

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Solution

The third proportional to 38,964 and 82,782 is: 175,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964 : 82,782 = 82,782 : x
  2. Step 2: Convert to fraction form
    38,964/82,782 = 82,782/x
  3. Step 3: Cross multiply
    38,964x = 82,782 × 82,782
  4. Step 4: Simplify right side
    38,964x = 6,852,859,524
  5. Step 5: Solve for x
    x = 6,852,859,524/38,964
  6. Step 6: Final answer
    x = 175,876.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.