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Finding the Third Proportional to 26.81 and 41.06

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Solution

The third proportional to 26.81 and 41.06 is: 62.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.81 : 41.06 = 41.06 : x
  2. Step 2: Convert to fraction form
    26.81/41.06 = 41.06/x
  3. Step 3: Cross multiply
    26.81x = 41.06 × 41.06
  4. Step 4: Simplify right side
    26.81x = 1,686.13
  5. Step 5: Solve for x
    x = 1,686.13/26.81
  6. Step 6: Final answer
    x = 62.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.