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Finding the Third Proportional to 5,166 and 11,486

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Solution

The third proportional to 5,166 and 11,486 is: 25,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 11,486 = 11,486 : x
  2. Step 2: Convert to fraction form
    5,166/11,486 = 11,486/x
  3. Step 3: Cross multiply
    5,166x = 11,486 × 11,486
  4. Step 4: Simplify right side
    5,166x = 131,928,196
  5. Step 5: Solve for x
    x = 131,928,196/5,166
  6. Step 6: Final answer
    x = 25,537.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.