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Finding the Third Proportional to 37,714 and 81,689

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Solution

The third proportional to 37,714 and 81,689 is: 176,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,714 : 81,689 = 81,689 : x
  2. Step 2: Convert to fraction form
    37,714/81,689 = 81,689/x
  3. Step 3: Cross multiply
    37,714x = 81,689 × 81,689
  4. Step 4: Simplify right side
    37,714x = 6,673,092,721
  5. Step 5: Solve for x
    x = 6,673,092,721/37,714
  6. Step 6: Final answer
    x = 176,939.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.