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Finding the Third Proportional to 1,600 and 2,567

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Solution

The third proportional to 1,600 and 2,567 is: 4,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600 : 2,567 = 2,567 : x
  2. Step 2: Convert to fraction form
    1,600/2,567 = 2,567/x
  3. Step 3: Cross multiply
    1,600x = 2,567 × 2,567
  4. Step 4: Simplify right side
    1,600x = 6,589,489
  5. Step 5: Solve for x
    x = 6,589,489/1,600
  6. Step 6: Final answer
    x = 4,118.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.