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Finding the Third Proportional to 41,500 and 55,914

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Solution

The third proportional to 41,500 and 55,914 is: 75,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,500 : 55,914 = 55,914 : x
  2. Step 2: Convert to fraction form
    41,500/55,914 = 55,914/x
  3. Step 3: Cross multiply
    41,500x = 55,914 × 55,914
  4. Step 4: Simplify right side
    41,500x = 3,126,375,396
  5. Step 5: Solve for x
    x = 3,126,375,396/41,500
  6. Step 6: Final answer
    x = 75,334.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.