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Finding the Third Proportional to 31,816.13 and 54,330.75

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Solution

The third proportional to 31,816.13 and 54,330.75 is: 92,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.13 : 54,330.75 = 54,330.75 : x
  2. Step 2: Convert to fraction form
    31,816.13/54,330.75 = 54,330.75/x
  3. Step 3: Cross multiply
    31,816.13x = 54,330.75 × 54,330.75
  4. Step 4: Simplify right side
    31,816.13x = 2,951,830,395.56
  5. Step 5: Solve for x
    x = 2,951,830,395.56/31,816.13
  6. Step 6: Final answer
    x = 92,777.81

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.