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Finding the Third Proportional to 38,002 and 82,292

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Solution

The third proportional to 38,002 and 82,292 is: 178,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002 : 82,292 = 82,292 : x
  2. Step 2: Convert to fraction form
    38,002/82,292 = 82,292/x
  3. Step 3: Cross multiply
    38,002x = 82,292 × 82,292
  4. Step 4: Simplify right side
    38,002x = 6,771,973,264
  5. Step 5: Solve for x
    x = 6,771,973,264/38,002
  6. Step 6: Final answer
    x = 178,200.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.