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Finding the Third Proportional to 8,675 and 13,967

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Solution

The third proportional to 8,675 and 13,967 is: 22,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675 : 13,967 = 13,967 : x
  2. Step 2: Convert to fraction form
    8,675/13,967 = 13,967/x
  3. Step 3: Cross multiply
    8,675x = 13,967 × 13,967
  4. Step 4: Simplify right side
    8,675x = 195,077,089
  5. Step 5: Solve for x
    x = 195,077,089/8,675
  6. Step 6: Final answer
    x = 22,487.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.