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Finding the Third Proportional to 31,701.75 and 73,716.75

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Solution

The third proportional to 31,701.75 and 73,716.75 is: 171,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,701.75 : 73,716.75 = 73,716.75 : x
  2. Step 2: Convert to fraction form
    31,701.75/73,716.75 = 73,716.75/x
  3. Step 3: Cross multiply
    31,701.75x = 73,716.75 × 73,716.75
  4. Step 4: Simplify right side
    31,701.75x = 5,434,159,230.56
  5. Step 5: Solve for x
    x = 5,434,159,230.56/31,701.75
  6. Step 6: Final answer
    x = 171,415.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.