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Finding the Third Proportional to 1,562 and 4,049

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Solution

The third proportional to 1,562 and 4,049 is: 10,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562 : 4,049 = 4,049 : x
  2. Step 2: Convert to fraction form
    1,562/4,049 = 4,049/x
  3. Step 3: Cross multiply
    1,562x = 4,049 × 4,049
  4. Step 4: Simplify right side
    1,562x = 16,394,401
  5. Step 5: Solve for x
    x = 16,394,401/1,562
  6. Step 6: Final answer
    x = 10,495.78

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.