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Finding the Third Proportional to 20,147 and 26,926

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Solution

The third proportional to 20,147 and 26,926 is: 35,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147 : 26,926 = 26,926 : x
  2. Step 2: Convert to fraction form
    20,147/26,926 = 26,926/x
  3. Step 3: Cross multiply
    20,147x = 26,926 × 26,926
  4. Step 4: Simplify right side
    20,147x = 725,009,476
  5. Step 5: Solve for x
    x = 725,009,476/20,147
  6. Step 6: Final answer
    x = 35,985.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.