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Finding the Third Proportional to 41,161.50 and 60,279

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Solution

The third proportional to 41,161.50 and 60,279 is: 88,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,161.50 : 60,279 = 60,279 : x
  2. Step 2: Convert to fraction form
    41,161.50/60,279 = 60,279/x
  3. Step 3: Cross multiply
    41,161.50x = 60,279 × 60,279
  4. Step 4: Simplify right side
    41,161.50x = 3,633,557,841
  5. Step 5: Solve for x
    x = 3,633,557,841/41,161.50
  6. Step 6: Final answer
    x = 88,275.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.