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Finding the Third Proportional to 2,584.88 and 5,661.25

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Solution

The third proportional to 2,584.88 and 5,661.25 is: 12,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.88 : 5,661.25 = 5,661.25 : x
  2. Step 2: Convert to fraction form
    2,584.88/5,661.25 = 5,661.25/x
  3. Step 3: Cross multiply
    2,584.88x = 5,661.25 × 5,661.25
  4. Step 4: Simplify right side
    2,584.88x = 32,049,751.56
  5. Step 5: Solve for x
    x = 32,049,751.56/2,584.88
  6. Step 6: Final answer
    x = 12,398.96

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