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Finding the Third Proportional to 20,723.25 and 31,871.38

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Solution

The third proportional to 20,723.25 and 31,871.38 is: 49,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723.25 : 31,871.38 = 31,871.38 : x
  2. Step 2: Convert to fraction form
    20,723.25/31,871.38 = 31,871.38/x
  3. Step 3: Cross multiply
    20,723.25x = 31,871.38 × 31,871.38
  4. Step 4: Simplify right side
    20,723.25x = 1,015,784,544.39
  5. Step 5: Solve for x
    x = 1,015,784,544.39/20,723.25
  6. Step 6: Final answer
    x = 49,016.66

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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.