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Finding the Third Proportional to 32,589 and 48,739

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Solution

The third proportional to 32,589 and 48,739 is: 72,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,589 : 48,739 = 48,739 : x
  2. Step 2: Convert to fraction form
    32,589/48,739 = 48,739/x
  3. Step 3: Cross multiply
    32,589x = 48,739 × 48,739
  4. Step 4: Simplify right side
    32,589x = 2,375,490,121
  5. Step 5: Solve for x
    x = 2,375,490,121/32,589
  6. Step 6: Final answer
    x = 72,892.39

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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.