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Finding the Third Proportional to 5,375.81 and 8,144.72

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Solution

The third proportional to 5,375.81 and 8,144.72 is: 12,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.81 : 8,144.72 = 8,144.72 : x
  2. Step 2: Convert to fraction form
    5,375.81/8,144.72 = 8,144.72/x
  3. Step 3: Cross multiply
    5,375.81x = 8,144.72 × 8,144.72
  4. Step 4: Simplify right side
    5,375.81x = 66,336,443.52
  5. Step 5: Solve for x
    x = 66,336,443.52/5,375.81
  6. Step 6: Final answer
    x = 12,339.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.