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Finding the Third Proportional to 32,902 and 50,891

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Solution

The third proportional to 32,902 and 50,891 is: 78,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902 : 50,891 = 50,891 : x
  2. Step 2: Convert to fraction form
    32,902/50,891 = 50,891/x
  3. Step 3: Cross multiply
    32,902x = 50,891 × 50,891
  4. Step 4: Simplify right side
    32,902x = 2,589,893,881
  5. Step 5: Solve for x
    x = 2,589,893,881/32,902
  6. Step 6: Final answer
    x = 78,715.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.