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Finding the Third Proportional to 2,049 and 2,592

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Solution

The third proportional to 2,049 and 2,592 is: 3,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049 : 2,592 = 2,592 : x
  2. Step 2: Convert to fraction form
    2,049/2,592 = 2,592/x
  3. Step 3: Cross multiply
    2,049x = 2,592 × 2,592
  4. Step 4: Simplify right side
    2,049x = 6,718,464
  5. Step 5: Solve for x
    x = 6,718,464/2,049
  6. Step 6: Final answer
    x = 3,278.90

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.