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Finding the Third Proportional to 26.49 and 55.91

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Solution

The third proportional to 26.49 and 55.91 is: 118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.49 : 55.91 = 55.91 : x
  2. Step 2: Convert to fraction form
    26.49/55.91 = 55.91/x
  3. Step 3: Cross multiply
    26.49x = 55.91 × 55.91
  4. Step 4: Simplify right side
    26.49x = 3,126.25
  5. Step 5: Solve for x
    x = 3,126.25/26.49
  6. Step 6: Final answer
    x = 118.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.