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Finding the Third Proportional to 26,960 and 55,216

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Solution

The third proportional to 26,960 and 55,216 is: 113,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,960 : 55,216 = 55,216 : x
  2. Step 2: Convert to fraction form
    26,960/55,216 = 55,216/x
  3. Step 3: Cross multiply
    26,960x = 55,216 × 55,216
  4. Step 4: Simplify right side
    26,960x = 3,048,806,656
  5. Step 5: Solve for x
    x = 3,048,806,656/26,960
  6. Step 6: Final answer
    x = 113,086.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.