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Finding the Third Proportional to 26.22 and 57.31

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Solution

The third proportional to 26.22 and 57.31 is: 125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.22 : 57.31 = 57.31 : x
  2. Step 2: Convert to fraction form
    26.22/57.31 = 57.31/x
  3. Step 3: Cross multiply
    26.22x = 57.31 × 57.31
  4. Step 4: Simplify right side
    26.22x = 3,284.50
  5. Step 5: Solve for x
    x = 3,284.50/26.22
  6. Step 6: Final answer
    x = 125.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.