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Finding the Third Proportional to 4,567 and 8,675

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Solution

The third proportional to 4,567 and 8,675 is: 16,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567 : 8,675 = 8,675 : x
  2. Step 2: Convert to fraction form
    4,567/8,675 = 8,675/x
  3. Step 3: Cross multiply
    4,567x = 8,675 × 8,675
  4. Step 4: Simplify right side
    4,567x = 75,255,625
  5. Step 5: Solve for x
    x = 75,255,625/4,567
  6. Step 6: Final answer
    x = 16,478.13

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.