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Finding the Third Proportional to 37,713 and 82,959

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Solution

The third proportional to 37,713 and 82,959 is: 182,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,713 : 82,959 = 82,959 : x
  2. Step 2: Convert to fraction form
    37,713/82,959 = 82,959/x
  3. Step 3: Cross multiply
    37,713x = 82,959 × 82,959
  4. Step 4: Simplify right side
    37,713x = 6,882,195,681
  5. Step 5: Solve for x
    x = 6,882,195,681/37,713
  6. Step 6: Final answer
    x = 182,488.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.