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Finding the Third Proportional to 2,912.70 and 6,233.55

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Solution

The third proportional to 2,912.70 and 6,233.55 is: 13,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.70 : 6,233.55 = 6,233.55 : x
  2. Step 2: Convert to fraction form
    2,912.70/6,233.55 = 6,233.55/x
  3. Step 3: Cross multiply
    2,912.70x = 6,233.55 × 6,233.55
  4. Step 4: Simplify right side
    2,912.70x = 38,857,204.04
  5. Step 5: Solve for x
    x = 38,857,204.04/2,912.70
  6. Step 6: Final answer
    x = 13,340.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.