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Finding the Third Proportional to 38,870 and 85,352

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Solution

The third proportional to 38,870 and 85,352 is: 187,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,870 : 85,352 = 85,352 : x
  2. Step 2: Convert to fraction form
    38,870/85,352 = 85,352/x
  3. Step 3: Cross multiply
    38,870x = 85,352 × 85,352
  4. Step 4: Simplify right side
    38,870x = 7,284,963,904
  5. Step 5: Solve for x
    x = 7,284,963,904/38,870
  6. Step 6: Final answer
    x = 187,418.68

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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.