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Finding the Third Proportional to 32,815 and 50,909

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Solution

The third proportional to 32,815 and 50,909 is: 78,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,815 : 50,909 = 50,909 : x
  2. Step 2: Convert to fraction form
    32,815/50,909 = 50,909/x
  3. Step 3: Cross multiply
    32,815x = 50,909 × 50,909
  4. Step 4: Simplify right side
    32,815x = 2,591,726,281
  5. Step 5: Solve for x
    x = 2,591,726,281/32,815
  6. Step 6: Final answer
    x = 78,979.93

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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.