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Finding the Third Proportional to 38,498 and 57,589

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Solution

The third proportional to 38,498 and 57,589 is: 86,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498 : 57,589 = 57,589 : x
  2. Step 2: Convert to fraction form
    38,498/57,589 = 57,589/x
  3. Step 3: Cross multiply
    38,498x = 57,589 × 57,589
  4. Step 4: Simplify right side
    38,498x = 3,316,492,921
  5. Step 5: Solve for x
    x = 3,316,492,921/38,498
  6. Step 6: Final answer
    x = 86,147.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.