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Finding the Third Proportional to 26.75 and 46.06

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Solution

The third proportional to 26.75 and 46.06 is: 79.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.75 : 46.06 = 46.06 : x
  2. Step 2: Convert to fraction form
    26.75/46.06 = 46.06/x
  3. Step 3: Cross multiply
    26.75x = 46.06 × 46.06
  4. Step 4: Simplify right side
    26.75x = 2,121.75
  5. Step 5: Solve for x
    x = 2,121.75/26.75
  6. Step 6: Final answer
    x = 79.32

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.