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Finding the Third Proportional to 2,511.75 and 2,847.75

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Solution

The third proportional to 2,511.75 and 2,847.75 is: 3,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.75 : 2,847.75 = 2,847.75 : x
  2. Step 2: Convert to fraction form
    2,511.75/2,847.75 = 2,847.75/x
  3. Step 3: Cross multiply
    2,511.75x = 2,847.75 × 2,847.75
  4. Step 4: Simplify right side
    2,511.75x = 8,109,680.06
  5. Step 5: Solve for x
    x = 8,109,680.06/2,511.75
  6. Step 6: Final answer
    x = 3,228.70

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.