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Finding the Third Proportional to 5,044.75 and 6,661.25

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Solution

The third proportional to 5,044.75 and 6,661.25 is: 8,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.75 : 6,661.25 = 6,661.25 : x
  2. Step 2: Convert to fraction form
    5,044.75/6,661.25 = 6,661.25/x
  3. Step 3: Cross multiply
    5,044.75x = 6,661.25 × 6,661.25
  4. Step 4: Simplify right side
    5,044.75x = 44,372,251.56
  5. Step 5: Solve for x
    x = 44,372,251.56/5,044.75
  6. Step 6: Final answer
    x = 8,795.73

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.