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Finding the Third Proportional to 38,666 and 82,396

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Solution

The third proportional to 38,666 and 82,396 is: 175,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666 : 82,396 = 82,396 : x
  2. Step 2: Convert to fraction form
    38,666/82,396 = 82,396/x
  3. Step 3: Cross multiply
    38,666x = 82,396 × 82,396
  4. Step 4: Simplify right side
    38,666x = 6,789,100,816
  5. Step 5: Solve for x
    x = 6,789,100,816/38,666
  6. Step 6: Final answer
    x = 175,583.22

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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.