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Finding the Third Proportional to 2,352.94 and 5,115.80

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Solution

The third proportional to 2,352.94 and 5,115.80 is: 11,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.94 : 5,115.80 = 5,115.80 : x
  2. Step 2: Convert to fraction form
    2,352.94/5,115.80 = 5,115.80/x
  3. Step 3: Cross multiply
    2,352.94x = 5,115.80 × 5,115.80
  4. Step 4: Simplify right side
    2,352.94x = 26,171,377.67
  5. Step 5: Solve for x
    x = 26,171,377.67/2,352.94
  6. Step 6: Final answer
    x = 11,122.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.