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Finding the Third Proportional to 25.75 and 37.75

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Solution

The third proportional to 25.75 and 37.75 is: 55.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.75 : 37.75 = 37.75 : x
  2. Step 2: Convert to fraction form
    25.75/37.75 = 37.75/x
  3. Step 3: Cross multiply
    25.75x = 37.75 × 37.75
  4. Step 4: Simplify right side
    25.75x = 1,425.06
  5. Step 5: Solve for x
    x = 1,425.06/25.75
  6. Step 6: Final answer
    x = 55.34

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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.