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Finding the Third Proportional to 26.23 and 57.26

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Solution

The third proportional to 26.23 and 57.26 is: 125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.23 : 57.26 = 57.26 : x
  2. Step 2: Convert to fraction form
    26.23/57.26 = 57.26/x
  3. Step 3: Cross multiply
    26.23x = 57.26 × 57.26
  4. Step 4: Simplify right side
    26.23x = 3,279.23
  5. Step 5: Solve for x
    x = 3,279.23/26.23
  6. Step 6: Final answer
    x = 125.02

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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.