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Finding the Third Proportional to 13,165 and 20,926

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Solution

The third proportional to 13,165 and 20,926 is: 33,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165 : 20,926 = 20,926 : x
  2. Step 2: Convert to fraction form
    13,165/20,926 = 20,926/x
  3. Step 3: Cross multiply
    13,165x = 20,926 × 20,926
  4. Step 4: Simplify right side
    13,165x = 437,897,476
  5. Step 5: Solve for x
    x = 437,897,476/13,165
  6. Step 6: Final answer
    x = 33,262.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.