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Finding the Third Proportional to 1,263.73 and 2,732.48

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Solution

The third proportional to 1,263.73 and 2,732.48 is: 5,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.73 : 2,732.48 = 2,732.48 : x
  2. Step 2: Convert to fraction form
    1,263.73/2,732.48 = 2,732.48/x
  3. Step 3: Cross multiply
    1,263.73x = 2,732.48 × 2,732.48
  4. Step 4: Simplify right side
    1,263.73x = 7,466,470.86
  5. Step 5: Solve for x
    x = 7,466,470.86/1,263.73
  6. Step 6: Final answer
    x = 5,908.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.