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Finding the Third Proportional to 2,912.25 and 6,469.50

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Solution

The third proportional to 2,912.25 and 6,469.50 is: 14,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.25 : 6,469.50 = 6,469.50 : x
  2. Step 2: Convert to fraction form
    2,912.25/6,469.50 = 6,469.50/x
  3. Step 3: Cross multiply
    2,912.25x = 6,469.50 × 6,469.50
  4. Step 4: Simplify right side
    2,912.25x = 41,854,430.25
  5. Step 5: Solve for x
    x = 41,854,430.25/2,912.25
  6. Step 6: Final answer
    x = 14,371.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.