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Finding the Third Proportional to 38,252 and 58,188

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Solution

The third proportional to 38,252 and 58,188 is: 88,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252 : 58,188 = 58,188 : x
  2. Step 2: Convert to fraction form
    38,252/58,188 = 58,188/x
  3. Step 3: Cross multiply
    38,252x = 58,188 × 58,188
  4. Step 4: Simplify right side
    38,252x = 3,385,843,344
  5. Step 5: Solve for x
    x = 3,385,843,344/38,252
  6. Step 6: Final answer
    x = 88,514.15

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