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Finding the Third Proportional to 32,474 and 50,079

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Solution

The third proportional to 32,474 and 50,079 is: 77,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474 : 50,079 = 50,079 : x
  2. Step 2: Convert to fraction form
    32,474/50,079 = 50,079/x
  3. Step 3: Cross multiply
    32,474x = 50,079 × 50,079
  4. Step 4: Simplify right side
    32,474x = 2,507,906,241
  5. Step 5: Solve for x
    x = 2,507,906,241/32,474
  6. Step 6: Final answer
    x = 77,228.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.