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Finding the Third Proportional to 38,641 and 82,386

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Solution

The third proportional to 38,641 and 82,386 is: 175,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,641 : 82,386 = 82,386 : x
  2. Step 2: Convert to fraction form
    38,641/82,386 = 82,386/x
  3. Step 3: Cross multiply
    38,641x = 82,386 × 82,386
  4. Step 4: Simplify right side
    38,641x = 6,787,452,996
  5. Step 5: Solve for x
    x = 6,787,452,996/38,641
  6. Step 6: Final answer
    x = 175,654.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.