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Finding the Third Proportional to 38,585 and 82,260

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Solution

The third proportional to 38,585 and 82,260 is: 175,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585 : 82,260 = 82,260 : x
  2. Step 2: Convert to fraction form
    38,585/82,260 = 82,260/x
  3. Step 3: Cross multiply
    38,585x = 82,260 × 82,260
  4. Step 4: Simplify right side
    38,585x = 6,766,707,600
  5. Step 5: Solve for x
    x = 6,766,707,600/38,585
  6. Step 6: Final answer
    x = 175,371.46

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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.