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Finding the Third Proportional to 5,854.78 and 8,144.30

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Solution

The third proportional to 5,854.78 and 8,144.30 is: 11,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.78 : 8,144.30 = 8,144.30 : x
  2. Step 2: Convert to fraction form
    5,854.78/8,144.30 = 8,144.30/x
  3. Step 3: Cross multiply
    5,854.78x = 8,144.30 × 8,144.30
  4. Step 4: Simplify right side
    5,854.78x = 66,329,571.59
  5. Step 5: Solve for x
    x = 66,329,571.59/5,854.78
  6. Step 6: Final answer
    x = 11,329.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.