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Finding the Third Proportional to 31,924.13 and 75,527.44

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Solution

The third proportional to 31,924.13 and 75,527.44 is: 178,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.13 : 75,527.44 = 75,527.44 : x
  2. Step 2: Convert to fraction form
    31,924.13/75,527.44 = 75,527.44/x
  3. Step 3: Cross multiply
    31,924.13x = 75,527.44 × 75,527.44
  4. Step 4: Simplify right side
    31,924.13x = 5,704,393,815.32
  5. Step 5: Solve for x
    x = 5,704,393,815.32/31,924.13
  6. Step 6: Final answer
    x = 178,685.99

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.