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Finding the Third Proportional to 26.94 and 59.69

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Solution

The third proportional to 26.94 and 59.69 is: 132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.94 : 59.69 = 59.69 : x
  2. Step 2: Convert to fraction form
    26.94/59.69 = 59.69/x
  3. Step 3: Cross multiply
    26.94x = 59.69 × 59.69
  4. Step 4: Simplify right side
    26.94x = 3,562.60
  5. Step 5: Solve for x
    x = 3,562.60/26.94
  6. Step 6: Final answer
    x = 132.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.