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Finding the Third Proportional to 1,165.25 and 2,550.25

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Solution

The third proportional to 1,165.25 and 2,550.25 is: 5,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.25 : 2,550.25 = 2,550.25 : x
  2. Step 2: Convert to fraction form
    1,165.25/2,550.25 = 2,550.25/x
  3. Step 3: Cross multiply
    1,165.25x = 2,550.25 × 2,550.25
  4. Step 4: Simplify right side
    1,165.25x = 6,503,775.06
  5. Step 5: Solve for x
    x = 6,503,775.06/1,165.25
  6. Step 6: Final answer
    x = 5,581.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.