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Finding the Third Proportional to 38,359 and 82,049

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Solution

The third proportional to 38,359 and 82,049 is: 175,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,359 : 82,049 = 82,049 : x
  2. Step 2: Convert to fraction form
    38,359/82,049 = 82,049/x
  3. Step 3: Cross multiply
    38,359x = 82,049 × 82,049
  4. Step 4: Simplify right side
    38,359x = 6,732,038,401
  5. Step 5: Solve for x
    x = 6,732,038,401/38,359
  6. Step 6: Final answer
    x = 175,500.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.