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Finding the Third Proportional to 36,279 and 54,631.13

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Solution

The third proportional to 36,279 and 54,631.13 is: 82,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,279 : 54,631.13 = 54,631.13 : x
  2. Step 2: Convert to fraction form
    36,279/54,631.13 = 54,631.13/x
  3. Step 3: Cross multiply
    36,279x = 54,631.13 × 54,631.13
  4. Step 4: Simplify right side
    36,279x = 2,984,559,818.77
  5. Step 5: Solve for x
    x = 2,984,559,818.77/36,279
  6. Step 6: Final answer
    x = 82,266.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.