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Finding the Third Proportional to 37,514 and 82,637

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Solution

The third proportional to 37,514 and 82,637 is: 182,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,514 : 82,637 = 82,637 : x
  2. Step 2: Convert to fraction form
    37,514/82,637 = 82,637/x
  3. Step 3: Cross multiply
    37,514x = 82,637 × 82,637
  4. Step 4: Simplify right side
    37,514x = 6,828,873,769
  5. Step 5: Solve for x
    x = 6,828,873,769/37,514
  6. Step 6: Final answer
    x = 182,035.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.