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Finding the Third Proportional to 25.38 and 37.25

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Solution

The third proportional to 25.38 and 37.25 is: 54.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.38 : 37.25 = 37.25 : x
  2. Step 2: Convert to fraction form
    25.38/37.25 = 37.25/x
  3. Step 3: Cross multiply
    25.38x = 37.25 × 37.25
  4. Step 4: Simplify right side
    25.38x = 1,387.56
  5. Step 5: Solve for x
    x = 1,387.56/25.38
  6. Step 6: Final answer
    x = 54.68

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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.