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Finding the Third Proportional to 36,913 and 57,266

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Solution

The third proportional to 36,913 and 57,266 is: 88,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,913 : 57,266 = 57,266 : x
  2. Step 2: Convert to fraction form
    36,913/57,266 = 57,266/x
  3. Step 3: Cross multiply
    36,913x = 57,266 × 57,266
  4. Step 4: Simplify right side
    36,913x = 3,279,394,756
  5. Step 5: Solve for x
    x = 3,279,394,756/36,913
  6. Step 6: Final answer
    x = 88,841.19

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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.