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Finding the Third Proportional to 1,567 and 3,448

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Solution

The third proportional to 1,567 and 3,448 is: 7,586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567 : 3,448 = 3,448 : x
  2. Step 2: Convert to fraction form
    1,567/3,448 = 3,448/x
  3. Step 3: Cross multiply
    1,567x = 3,448 × 3,448
  4. Step 4: Simplify right side
    1,567x = 11,888,704
  5. Step 5: Solve for x
    x = 11,888,704/1,567
  6. Step 6: Final answer
    x = 7,586.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.