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Finding the Third Proportional to 28,750 and 38,839

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Solution

The third proportional to 28,750 and 38,839 is: 52,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,750 : 38,839 = 38,839 : x
  2. Step 2: Convert to fraction form
    28,750/38,839 = 38,839/x
  3. Step 3: Cross multiply
    28,750x = 38,839 × 38,839
  4. Step 4: Simplify right side
    28,750x = 1,508,467,921
  5. Step 5: Solve for x
    x = 1,508,467,921/28,750
  6. Step 6: Final answer
    x = 52,468.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.