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Finding the Third Proportional to 38,002 and 82,693

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Solution

The third proportional to 38,002 and 82,693 is: 179,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002 : 82,693 = 82,693 : x
  2. Step 2: Convert to fraction form
    38,002/82,693 = 82,693/x
  3. Step 3: Cross multiply
    38,002x = 82,693 × 82,693
  4. Step 4: Simplify right side
    38,002x = 6,838,132,249
  5. Step 5: Solve for x
    x = 6,838,132,249/38,002
  6. Step 6: Final answer
    x = 179,941.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.