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Finding the Third Proportional to 38,442 and 82,353

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Solution

The third proportional to 38,442 and 82,353 is: 176,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442 : 82,353 = 82,353 : x
  2. Step 2: Convert to fraction form
    38,442/82,353 = 82,353/x
  3. Step 3: Cross multiply
    38,442x = 82,353 × 82,353
  4. Step 4: Simplify right side
    38,442x = 6,782,016,609
  5. Step 5: Solve for x
    x = 6,782,016,609/38,442
  6. Step 6: Final answer
    x = 176,422.05

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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.