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Finding the Third Proportional to 38,042 and 82,508

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Solution

The third proportional to 38,042 and 82,508 is: 178,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042 : 82,508 = 82,508 : x
  2. Step 2: Convert to fraction form
    38,042/82,508 = 82,508/x
  3. Step 3: Cross multiply
    38,042x = 82,508 × 82,508
  4. Step 4: Simplify right side
    38,042x = 6,807,570,064
  5. Step 5: Solve for x
    x = 6,807,570,064/38,042
  6. Step 6: Final answer
    x = 178,948.80

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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.