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Finding the Third Proportional to 27,099 and 55,926

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Solution

The third proportional to 27,099 and 55,926 is: 115,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099 : 55,926 = 55,926 : x
  2. Step 2: Convert to fraction form
    27,099/55,926 = 55,926/x
  3. Step 3: Cross multiply
    27,099x = 55,926 × 55,926
  4. Step 4: Simplify right side
    27,099x = 3,127,717,476
  5. Step 5: Solve for x
    x = 3,127,717,476/27,099
  6. Step 6: Final answer
    x = 115,418.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.