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Finding the Third Proportional to 25.53 and 38.44

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Solution

The third proportional to 25.53 and 38.44 is: 57.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.53 : 38.44 = 38.44 : x
  2. Step 2: Convert to fraction form
    25.53/38.44 = 38.44/x
  3. Step 3: Cross multiply
    25.53x = 38.44 × 38.44
  4. Step 4: Simplify right side
    25.53x = 1,477.89
  5. Step 5: Solve for x
    x = 1,477.89/25.53
  6. Step 6: Final answer
    x = 57.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.