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Finding the Third Proportional to 34 and 41.38

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Solution

The third proportional to 34 and 41.38 is: 50.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 41.38 = 41.38 : x
  2. Step 2: Convert to fraction form
    34/41.38 = 41.38/x
  3. Step 3: Cross multiply
    34x = 41.38 × 41.38
  4. Step 4: Simplify right side
    34x = 1,711.89
  5. Step 5: Solve for x
    x = 1,711.89/34
  6. Step 6: Final answer
    x = 50.35

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.