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Finding the Third Proportional to 2,409.12 and 2,591.37

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Solution

The third proportional to 2,409.12 and 2,591.37 is: 2,787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.12 : 2,591.37 = 2,591.37 : x
  2. Step 2: Convert to fraction form
    2,409.12/2,591.37 = 2,591.37/x
  3. Step 3: Cross multiply
    2,409.12x = 2,591.37 × 2,591.37
  4. Step 4: Simplify right side
    2,409.12x = 6,715,183.90
  5. Step 5: Solve for x
    x = 6,715,183.90/2,409.12
  6. Step 6: Final answer
    x = 2,787.40

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.