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Finding the Third Proportional to 4,952.25 and 8,340.75

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Solution

The third proportional to 4,952.25 and 8,340.75 is: 14,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.25 : 8,340.75 = 8,340.75 : x
  2. Step 2: Convert to fraction form
    4,952.25/8,340.75 = 8,340.75/x
  3. Step 3: Cross multiply
    4,952.25x = 8,340.75 × 8,340.75
  4. Step 4: Simplify right side
    4,952.25x = 69,568,110.56
  5. Step 5: Solve for x
    x = 69,568,110.56/4,952.25
  6. Step 6: Final answer
    x = 14,047.78

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.