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Finding the Third Proportional to 36,291 and 55,517

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Solution

The third proportional to 36,291 and 55,517 is: 84,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291 : 55,517 = 55,517 : x
  2. Step 2: Convert to fraction form
    36,291/55,517 = 55,517/x
  3. Step 3: Cross multiply
    36,291x = 55,517 × 55,517
  4. Step 4: Simplify right side
    36,291x = 3,082,137,289
  5. Step 5: Solve for x
    x = 3,082,137,289/36,291
  6. Step 6: Final answer
    x = 84,928.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.