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Finding the Third Proportional to 2,600 and 2,861

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Solution

The third proportional to 2,600 and 2,861 is: 3,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600 : 2,861 = 2,861 : x
  2. Step 2: Convert to fraction form
    2,600/2,861 = 2,861/x
  3. Step 3: Cross multiply
    2,600x = 2,861 × 2,861
  4. Step 4: Simplify right side
    2,600x = 8,185,321
  5. Step 5: Solve for x
    x = 8,185,321/2,600
  6. Step 6: Final answer
    x = 3,148.20

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.