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Finding the Third Proportional to 38,418 and 59,266

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Solution

The third proportional to 38,418 and 59,266 is: 91,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,418 : 59,266 = 59,266 : x
  2. Step 2: Convert to fraction form
    38,418/59,266 = 59,266/x
  3. Step 3: Cross multiply
    38,418x = 59,266 × 59,266
  4. Step 4: Simplify right side
    38,418x = 3,512,458,756
  5. Step 5: Solve for x
    x = 3,512,458,756/38,418
  6. Step 6: Final answer
    x = 91,427.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.