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Finding the Third Proportional to 31,859.75 and 44,561

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Solution

The third proportional to 31,859.75 and 44,561 is: 62,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.75 : 44,561 = 44,561 : x
  2. Step 2: Convert to fraction form
    31,859.75/44,561 = 44,561/x
  3. Step 3: Cross multiply
    31,859.75x = 44,561 × 44,561
  4. Step 4: Simplify right side
    31,859.75x = 1,985,682,721
  5. Step 5: Solve for x
    x = 1,985,682,721/31,859.75
  6. Step 6: Final answer
    x = 62,325.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.