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Finding the Third Proportional to 17,327 and 37,951

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Solution

The third proportional to 17,327 and 37,951 is: 83,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,327 : 37,951 = 37,951 : x
  2. Step 2: Convert to fraction form
    17,327/37,951 = 37,951/x
  3. Step 3: Cross multiply
    17,327x = 37,951 × 37,951
  4. Step 4: Simplify right side
    17,327x = 1,440,278,401
  5. Step 5: Solve for x
    x = 1,440,278,401/17,327
  6. Step 6: Final answer
    x = 83,123.36

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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.