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Finding the Third Proportional to 2,567 and 4,057

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Solution

The third proportional to 2,567 and 4,057 is: 6,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567 : 4,057 = 4,057 : x
  2. Step 2: Convert to fraction form
    2,567/4,057 = 4,057/x
  3. Step 3: Cross multiply
    2,567x = 4,057 × 4,057
  4. Step 4: Simplify right side
    2,567x = 16,459,249
  5. Step 5: Solve for x
    x = 16,459,249/2,567
  6. Step 6: Final answer
    x = 6,411.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.