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Finding the Third Proportional to 31,998.50 and 45,041

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Solution

The third proportional to 31,998.50 and 45,041 is: 63,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.50 : 45,041 = 45,041 : x
  2. Step 2: Convert to fraction form
    31,998.50/45,041 = 45,041/x
  3. Step 3: Cross multiply
    31,998.50x = 45,041 × 45,041
  4. Step 4: Simplify right side
    31,998.50x = 2,028,691,681
  5. Step 5: Solve for x
    x = 2,028,691,681/31,998.50
  6. Step 6: Final answer
    x = 63,399.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.