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Finding the Third Proportional to 29.75 and 47.38

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Solution

The third proportional to 29.75 and 47.38 is: 75.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 47.38 = 47.38 : x
  2. Step 2: Convert to fraction form
    29.75/47.38 = 47.38/x
  3. Step 3: Cross multiply
    29.75x = 47.38 × 47.38
  4. Step 4: Simplify right side
    29.75x = 2,244.39
  5. Step 5: Solve for x
    x = 2,244.39/29.75
  6. Step 6: Final answer
    x = 75.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.