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Finding the Third Proportional to 8,654 and 13,165

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Solution

The third proportional to 8,654 and 13,165 is: 20,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654 : 13,165 = 13,165 : x
  2. Step 2: Convert to fraction form
    8,654/13,165 = 13,165/x
  3. Step 3: Cross multiply
    8,654x = 13,165 × 13,165
  4. Step 4: Simplify right side
    8,654x = 173,317,225
  5. Step 5: Solve for x
    x = 173,317,225/8,654
  6. Step 6: Final answer
    x = 20,027.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.