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Finding the Third Proportional to 25.94 and 61.28

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Solution

The third proportional to 25.94 and 61.28 is: 144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.94 : 61.28 = 61.28 : x
  2. Step 2: Convert to fraction form
    25.94/61.28 = 61.28/x
  3. Step 3: Cross multiply
    25.94x = 61.28 × 61.28
  4. Step 4: Simplify right side
    25.94x = 3,755.39
  5. Step 5: Solve for x
    x = 3,755.39/25.94
  6. Step 6: Final answer
    x = 144.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.