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Finding the Third Proportional to 26.47 and 57.44

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Solution

The third proportional to 26.47 and 57.44 is: 124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.47 : 57.44 = 57.44 : x
  2. Step 2: Convert to fraction form
    26.47/57.44 = 57.44/x
  3. Step 3: Cross multiply
    26.47x = 57.44 × 57.44
  4. Step 4: Simplify right side
    26.47x = 3,299.07
  5. Step 5: Solve for x
    x = 3,299.07/26.47
  6. Step 6: Final answer
    x = 124.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.