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Finding the Third Proportional to 5,550.75 and 7,502.25

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Solution

The third proportional to 5,550.75 and 7,502.25 is: 10,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550.75 : 7,502.25 = 7,502.25 : x
  2. Step 2: Convert to fraction form
    5,550.75/7,502.25 = 7,502.25/x
  3. Step 3: Cross multiply
    5,550.75x = 7,502.25 × 7,502.25
  4. Step 4: Simplify right side
    5,550.75x = 56,283,755.06
  5. Step 5: Solve for x
    x = 56,283,755.06/5,550.75
  6. Step 6: Final answer
    x = 10,139.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.