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Finding the Third Proportional to 2,550.94 and 2,726.72

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Solution

The third proportional to 2,550.94 and 2,726.72 is: 2,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.94 : 2,726.72 = 2,726.72 : x
  2. Step 2: Convert to fraction form
    2,550.94/2,726.72 = 2,726.72/x
  3. Step 3: Cross multiply
    2,550.94x = 2,726.72 × 2,726.72
  4. Step 4: Simplify right side
    2,550.94x = 7,434,995.14
  5. Step 5: Solve for x
    x = 7,434,995.14/2,550.94
  6. Step 6: Final answer
    x = 2,914.61

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.