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Finding the Third Proportional to 2,896.97 and 6,230.72

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Solution

The third proportional to 2,896.97 and 6,230.72 is: 13,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.97 : 6,230.72 = 6,230.72 : x
  2. Step 2: Convert to fraction form
    2,896.97/6,230.72 = 6,230.72/x
  3. Step 3: Cross multiply
    2,896.97x = 6,230.72 × 6,230.72
  4. Step 4: Simplify right side
    2,896.97x = 38,821,856.14
  5. Step 5: Solve for x
    x = 38,821,856.14/2,896.97
  6. Step 6: Final answer
    x = 13,400.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.