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Finding the Third Proportional to 37,658 and 81,514

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Solution

The third proportional to 37,658 and 81,514 is: 176,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658 : 81,514 = 81,514 : x
  2. Step 2: Convert to fraction form
    37,658/81,514 = 81,514/x
  3. Step 3: Cross multiply
    37,658x = 81,514 × 81,514
  4. Step 4: Simplify right side
    37,658x = 6,644,532,196
  5. Step 5: Solve for x
    x = 6,644,532,196/37,658
  6. Step 6: Final answer
    x = 176,444.11

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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.