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Finding the Third Proportional to 37,917 and 82,557

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Solution

The third proportional to 37,917 and 82,557 is: 179,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,917 : 82,557 = 82,557 : x
  2. Step 2: Convert to fraction form
    37,917/82,557 = 82,557/x
  3. Step 3: Cross multiply
    37,917x = 82,557 × 82,557
  4. Step 4: Simplify right side
    37,917x = 6,815,658,249
  5. Step 5: Solve for x
    x = 6,815,658,249/37,917
  6. Step 6: Final answer
    x = 179,752.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.