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Finding the Third Proportional to 2,876.25 and 5,932.13

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Solution

The third proportional to 2,876.25 and 5,932.13 is: 12,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.25 : 5,932.13 = 5,932.13 : x
  2. Step 2: Convert to fraction form
    2,876.25/5,932.13 = 5,932.13/x
  3. Step 3: Cross multiply
    2,876.25x = 5,932.13 × 5,932.13
  4. Step 4: Simplify right side
    2,876.25x = 35,190,107.02
  5. Step 5: Solve for x
    x = 35,190,107.02/2,876.25
  6. Step 6: Final answer
    x = 12,234.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.