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Finding the Third Proportional to 8,786 and 13,567

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Solution

The third proportional to 8,786 and 13,567 is: 20,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786 : 13,567 = 13,567 : x
  2. Step 2: Convert to fraction form
    8,786/13,567 = 13,567/x
  3. Step 3: Cross multiply
    8,786x = 13,567 × 13,567
  4. Step 4: Simplify right side
    8,786x = 184,063,489
  5. Step 5: Solve for x
    x = 184,063,489/8,786
  6. Step 6: Final answer
    x = 20,949.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.