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Finding the Third Proportional to 37,432 and 81,897

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Solution

The third proportional to 37,432 and 81,897 is: 179,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,432 : 81,897 = 81,897 : x
  2. Step 2: Convert to fraction form
    37,432/81,897 = 81,897/x
  3. Step 3: Cross multiply
    37,432x = 81,897 × 81,897
  4. Step 4: Simplify right side
    37,432x = 6,707,118,609
  5. Step 5: Solve for x
    x = 6,707,118,609/37,432
  6. Step 6: Final answer
    x = 179,181.41

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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.