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Finding the Third Proportional to 2,829.75 and 6,600.75

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Solution

The third proportional to 2,829.75 and 6,600.75 is: 15,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.75 : 6,600.75 = 6,600.75 : x
  2. Step 2: Convert to fraction form
    2,829.75/6,600.75 = 6,600.75/x
  3. Step 3: Cross multiply
    2,829.75x = 6,600.75 × 6,600.75
  4. Step 4: Simplify right side
    2,829.75x = 43,569,900.56
  5. Step 5: Solve for x
    x = 43,569,900.56/2,829.75
  6. Step 6: Final answer
    x = 15,397.08

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.