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Finding the Third Proportional to 26.25 and 38.44

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Solution

The third proportional to 26.25 and 38.44 is: 56.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.25 : 38.44 = 38.44 : x
  2. Step 2: Convert to fraction form
    26.25/38.44 = 38.44/x
  3. Step 3: Cross multiply
    26.25x = 38.44 × 38.44
  4. Step 4: Simplify right side
    26.25x = 1,477.44
  5. Step 5: Solve for x
    x = 1,477.44/26.25
  6. Step 6: Final answer
    x = 56.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.