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Finding the Third Proportional to 2,567 and 4,697

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Solution

The third proportional to 2,567 and 4,697 is: 8,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567 : 4,697 = 4,697 : x
  2. Step 2: Convert to fraction form
    2,567/4,697 = 4,697/x
  3. Step 3: Cross multiply
    2,567x = 4,697 × 4,697
  4. Step 4: Simplify right side
    2,567x = 22,061,809
  5. Step 5: Solve for x
    x = 22,061,809/2,567
  6. Step 6: Final answer
    x = 8,594.39

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.