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Finding the Third Proportional to 1,677 and 2,517

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Solution

The third proportional to 1,677 and 2,517 is: 3,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677 : 2,517 = 2,517 : x
  2. Step 2: Convert to fraction form
    1,677/2,517 = 2,517/x
  3. Step 3: Cross multiply
    1,677x = 2,517 × 2,517
  4. Step 4: Simplify right side
    1,677x = 6,335,289
  5. Step 5: Solve for x
    x = 6,335,289/1,677
  6. Step 6: Final answer
    x = 3,777.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.