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Finding the Third Proportional to 8,567 and 12,850

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Solution

The third proportional to 8,567 and 12,850 is: 19,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567 : 12,850 = 12,850 : x
  2. Step 2: Convert to fraction form
    8,567/12,850 = 12,850/x
  3. Step 3: Cross multiply
    8,567x = 12,850 × 12,850
  4. Step 4: Simplify right side
    8,567x = 165,122,500
  5. Step 5: Solve for x
    x = 165,122,500/8,567
  6. Step 6: Final answer
    x = 19,274.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.