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Finding the Third Proportional to 38,464 and 58,418

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Solution

The third proportional to 38,464 and 58,418 is: 88,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464 : 58,418 = 58,418 : x
  2. Step 2: Convert to fraction form
    38,464/58,418 = 58,418/x
  3. Step 3: Cross multiply
    38,464x = 58,418 × 58,418
  4. Step 4: Simplify right side
    38,464x = 3,412,662,724
  5. Step 5: Solve for x
    x = 3,412,662,724/38,464
  6. Step 6: Final answer
    x = 88,723.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.