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Finding the Third Proportional to 38,257 and 59,093

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Solution

The third proportional to 38,257 and 59,093 is: 91,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257 : 59,093 = 59,093 : x
  2. Step 2: Convert to fraction form
    38,257/59,093 = 59,093/x
  3. Step 3: Cross multiply
    38,257x = 59,093 × 59,093
  4. Step 4: Simplify right side
    38,257x = 3,491,982,649
  5. Step 5: Solve for x
    x = 3,491,982,649/38,257
  6. Step 6: Final answer
    x = 91,276.96

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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.