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Finding the Third Proportional to 726.75 and 1,550.53

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Solution

The third proportional to 726.75 and 1,550.53 is: 3,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.75 : 1,550.53 = 1,550.53 : x
  2. Step 2: Convert to fraction form
    726.75/1,550.53 = 1,550.53/x
  3. Step 3: Cross multiply
    726.75x = 1,550.53 × 1,550.53
  4. Step 4: Simplify right side
    726.75x = 2,404,147.16
  5. Step 5: Solve for x
    x = 2,404,147.16/726.75
  6. Step 6: Final answer
    x = 3,308.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.