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Finding the Third Proportional to 29.75 and 34.63

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Solution

The third proportional to 29.75 and 34.63 is: 40.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 34.63 = 34.63 : x
  2. Step 2: Convert to fraction form
    29.75/34.63 = 34.63/x
  3. Step 3: Cross multiply
    29.75x = 34.63 × 34.63
  4. Step 4: Simplify right side
    29.75x = 1,198.89
  5. Step 5: Solve for x
    x = 1,198.89/29.75
  6. Step 6: Final answer
    x = 40.30

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.