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Finding the Third Proportional to 2,591.75 and 6,091.75

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Solution

The third proportional to 2,591.75 and 6,091.75 is: 14,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.75 : 6,091.75 = 6,091.75 : x
  2. Step 2: Convert to fraction form
    2,591.75/6,091.75 = 6,091.75/x
  3. Step 3: Cross multiply
    2,591.75x = 6,091.75 × 6,091.75
  4. Step 4: Simplify right side
    2,591.75x = 37,109,418.06
  5. Step 5: Solve for x
    x = 37,109,418.06/2,591.75
  6. Step 6: Final answer
    x = 14,318.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.