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Finding the Third Proportional to 38,531 and 58,073

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Solution

The third proportional to 38,531 and 58,073 is: 87,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,531 : 58,073 = 58,073 : x
  2. Step 2: Convert to fraction form
    38,531/58,073 = 58,073/x
  3. Step 3: Cross multiply
    38,531x = 58,073 × 58,073
  4. Step 4: Simplify right side
    38,531x = 3,372,473,329
  5. Step 5: Solve for x
    x = 3,372,473,329/38,531
  6. Step 6: Final answer
    x = 87,526.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.