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Finding the Third Proportional to 26.74 and 63.04

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Solution

The third proportional to 26.74 and 63.04 is: 148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.74 : 63.04 = 63.04 : x
  2. Step 2: Convert to fraction form
    26.74/63.04 = 63.04/x
  3. Step 3: Cross multiply
    26.74x = 63.04 × 63.04
  4. Step 4: Simplify right side
    26.74x = 3,974.54
  5. Step 5: Solve for x
    x = 3,974.54/26.74
  6. Step 6: Final answer
    x = 148.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.