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Finding the Third Proportional to 26.53 and 38.95

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Solution

The third proportional to 26.53 and 38.95 is: 57.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.53 : 38.95 = 38.95 : x
  2. Step 2: Convert to fraction form
    26.53/38.95 = 38.95/x
  3. Step 3: Cross multiply
    26.53x = 38.95 × 38.95
  4. Step 4: Simplify right side
    26.53x = 1,517.35
  5. Step 5: Solve for x
    x = 1,517.35/26.53
  6. Step 6: Final answer
    x = 57.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.