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Finding the Third Proportional to 39,466 and 82,580

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Solution

The third proportional to 39,466 and 82,580 is: 172,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,466 : 82,580 = 82,580 : x
  2. Step 2: Convert to fraction form
    39,466/82,580 = 82,580/x
  3. Step 3: Cross multiply
    39,466x = 82,580 × 82,580
  4. Step 4: Simplify right side
    39,466x = 6,819,456,400
  5. Step 5: Solve for x
    x = 6,819,456,400/39,466
  6. Step 6: Final answer
    x = 172,793.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.