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Finding the Third Proportional to 2,711.25 and 5,262.75

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Solution

The third proportional to 2,711.25 and 5,262.75 is: 10,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.25 : 5,262.75 = 5,262.75 : x
  2. Step 2: Convert to fraction form
    2,711.25/5,262.75 = 5,262.75/x
  3. Step 3: Cross multiply
    2,711.25x = 5,262.75 × 5,262.75
  4. Step 4: Simplify right side
    2,711.25x = 27,696,537.56
  5. Step 5: Solve for x
    x = 27,696,537.56/2,711.25
  6. Step 6: Final answer
    x = 10,215.41

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.