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Finding the Third Proportional to 11,168 and 26,266

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Solution

The third proportional to 11,168 and 26,266 is: 61,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168 : 26,266 = 26,266 : x
  2. Step 2: Convert to fraction form
    11,168/26,266 = 26,266/x
  3. Step 3: Cross multiply
    11,168x = 26,266 × 26,266
  4. Step 4: Simplify right side
    11,168x = 689,902,756
  5. Step 5: Solve for x
    x = 689,902,756/11,168
  6. Step 6: Final answer
    x = 61,774.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.