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Finding the Third Proportional to 38,449 and 82,646

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Solution

The third proportional to 38,449 and 82,646 is: 177,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,449 : 82,646 = 82,646 : x
  2. Step 2: Convert to fraction form
    38,449/82,646 = 82,646/x
  3. Step 3: Cross multiply
    38,449x = 82,646 × 82,646
  4. Step 4: Simplify right side
    38,449x = 6,830,361,316
  5. Step 5: Solve for x
    x = 6,830,361,316/38,449
  6. Step 6: Final answer
    x = 177,647.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.