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Finding the Third Proportional to 26.02 and 55.69

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Solution

The third proportional to 26.02 and 55.69 is: 119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.02 : 55.69 = 55.69 : x
  2. Step 2: Convert to fraction form
    26.02/55.69 = 55.69/x
  3. Step 3: Cross multiply
    26.02x = 55.69 × 55.69
  4. Step 4: Simplify right side
    26.02x = 3,101.10
  5. Step 5: Solve for x
    x = 3,101.10/26.02
  6. Step 6: Final answer
    x = 119.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.