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Finding the Third Proportional to 10,026 and 10,926

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Solution

The third proportional to 10,026 and 10,926 is: 11,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026 : 10,926 = 10,926 : x
  2. Step 2: Convert to fraction form
    10,026/10,926 = 10,926/x
  3. Step 3: Cross multiply
    10,026x = 10,926 × 10,926
  4. Step 4: Simplify right side
    10,026x = 119,377,476
  5. Step 5: Solve for x
    x = 119,377,476/10,026
  6. Step 6: Final answer
    x = 11,906.79

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.