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Finding the Third Proportional to 5,901.19 and 8,149.78

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Solution

The third proportional to 5,901.19 and 8,149.78 is: 11,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.19 : 8,149.78 = 8,149.78 : x
  2. Step 2: Convert to fraction form
    5,901.19/8,149.78 = 8,149.78/x
  3. Step 3: Cross multiply
    5,901.19x = 8,149.78 × 8,149.78
  4. Step 4: Simplify right side
    5,901.19x = 66,418,934.42
  5. Step 5: Solve for x
    x = 66,418,934.42/5,901.19
  6. Step 6: Final answer
    x = 11,255.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.