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Finding the Third Proportional to 32,727.90 and 50,043.74

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Solution

The third proportional to 32,727.90 and 50,043.74 is: 76,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727.90 : 50,043.74 = 50,043.74 : x
  2. Step 2: Convert to fraction form
    32,727.90/50,043.74 = 50,043.74/x
  3. Step 3: Cross multiply
    32,727.90x = 50,043.74 × 50,043.74
  4. Step 4: Simplify right side
    32,727.90x = 2,504,375,447.94
  5. Step 5: Solve for x
    x = 2,504,375,447.94/32,727.90
  6. Step 6: Final answer
    x = 76,521.11

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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.