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Finding the Third Proportional to 29.75 and 44

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Solution

The third proportional to 29.75 and 44 is: 65.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 44 = 44 : x
  2. Step 2: Convert to fraction form
    29.75/44 = 44/x
  3. Step 3: Cross multiply
    29.75x = 44 × 44
  4. Step 4: Simplify right side
    29.75x = 1,936
  5. Step 5: Solve for x
    x = 1,936/29.75
  6. Step 6: Final answer
    x = 65.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.