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Finding the Third Proportional to 32,727.38 and 50,042.81

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Solution

The third proportional to 32,727.38 and 50,042.81 is: 76,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727.38 : 50,042.81 = 50,042.81 : x
  2. Step 2: Convert to fraction form
    32,727.38/50,042.81 = 50,042.81/x
  3. Step 3: Cross multiply
    32,727.38x = 50,042.81 × 50,042.81
  4. Step 4: Simplify right side
    32,727.38x = 2,504,283,082.91
  5. Step 5: Solve for x
    x = 2,504,283,082.91/32,727.38
  6. Step 6: Final answer
    x = 76,519.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.