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Finding the Third Proportional to 37,002 and 79,917

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Solution

The third proportional to 37,002 and 79,917 is: 172,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,002 : 79,917 = 79,917 : x
  2. Step 2: Convert to fraction form
    37,002/79,917 = 79,917/x
  3. Step 3: Cross multiply
    37,002x = 79,917 × 79,917
  4. Step 4: Simplify right side
    37,002x = 6,386,726,889
  5. Step 5: Solve for x
    x = 6,386,726,889/37,002
  6. Step 6: Final answer
    x = 172,604.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.