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Finding the Third Proportional to 17,217 and 37,719

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Solution

The third proportional to 17,217 and 37,719 is: 82,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217 : 37,719 = 37,719 : x
  2. Step 2: Convert to fraction form
    17,217/37,719 = 37,719/x
  3. Step 3: Cross multiply
    17,217x = 37,719 × 37,719
  4. Step 4: Simplify right side
    17,217x = 1,422,722,961
  5. Step 5: Solve for x
    x = 1,422,722,961/17,217
  6. Step 6: Final answer
    x = 82,634.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.