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Finding the Third Proportional to 1,742 and 2,519

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Solution

The third proportional to 1,742 and 2,519 is: 3,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742 : 2,519 = 2,519 : x
  2. Step 2: Convert to fraction form
    1,742/2,519 = 2,519/x
  3. Step 3: Cross multiply
    1,742x = 2,519 × 2,519
  4. Step 4: Simplify right side
    1,742x = 6,345,361
  5. Step 5: Solve for x
    x = 6,345,361/1,742
  6. Step 6: Final answer
    x = 3,642.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.