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Finding the Third Proportional to 5,484 and 13,626

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Solution

The third proportional to 5,484 and 13,626 is: 33,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484 : 13,626 = 13,626 : x
  2. Step 2: Convert to fraction form
    5,484/13,626 = 13,626/x
  3. Step 3: Cross multiply
    5,484x = 13,626 × 13,626
  4. Step 4: Simplify right side
    5,484x = 185,667,876
  5. Step 5: Solve for x
    x = 185,667,876/5,484
  6. Step 6: Final answer
    x = 33,856.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.