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Finding the Third Proportional to 1,542 and 2,529

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Solution

The third proportional to 1,542 and 2,529 is: 4,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542 : 2,529 = 2,529 : x
  2. Step 2: Convert to fraction form
    1,542/2,529 = 2,529/x
  3. Step 3: Cross multiply
    1,542x = 2,529 × 2,529
  4. Step 4: Simplify right side
    1,542x = 6,395,841
  5. Step 5: Solve for x
    x = 6,395,841/1,542
  6. Step 6: Final answer
    x = 4,147.76

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.