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Finding the Third Proportional to 26.97 and 58.93

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Solution

The third proportional to 26.97 and 58.93 is: 128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.97 : 58.93 = 58.93 : x
  2. Step 2: Convert to fraction form
    26.97/58.93 = 58.93/x
  3. Step 3: Cross multiply
    26.97x = 58.93 × 58.93
  4. Step 4: Simplify right side
    26.97x = 3,472.82
  5. Step 5: Solve for x
    x = 3,472.82/26.97
  6. Step 6: Final answer
    x = 128.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.