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Finding the Third Proportional to 36,180.25 and 55,911

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Solution

The third proportional to 36,180.25 and 55,911 is: 86,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180.25 : 55,911 = 55,911 : x
  2. Step 2: Convert to fraction form
    36,180.25/55,911 = 55,911/x
  3. Step 3: Cross multiply
    36,180.25x = 55,911 × 55,911
  4. Step 4: Simplify right side
    36,180.25x = 3,126,039,921
  5. Step 5: Solve for x
    x = 3,126,039,921/36,180.25
  6. Step 6: Final answer
    x = 86,401.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.