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Finding the Third Proportional to 38,342 and 91,481

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Solution

The third proportional to 38,342 and 91,481 is: 218,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342 : 91,481 = 91,481 : x
  2. Step 2: Convert to fraction form
    38,342/91,481 = 91,481/x
  3. Step 3: Cross multiply
    38,342x = 91,481 × 91,481
  4. Step 4: Simplify right side
    38,342x = 8,368,773,361
  5. Step 5: Solve for x
    x = 8,368,773,361/38,342
  6. Step 6: Final answer
    x = 218,266.48

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.