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Finding the Third Proportional to 34.49 and 48.73

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Solution

The third proportional to 34.49 and 48.73 is: 68.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.49 : 48.73 = 48.73 : x
  2. Step 2: Convert to fraction form
    34.49/48.73 = 48.73/x
  3. Step 3: Cross multiply
    34.49x = 48.73 × 48.73
  4. Step 4: Simplify right side
    34.49x = 2,374.28
  5. Step 5: Solve for x
    x = 2,374.28/34.49
  6. Step 6: Final answer
    x = 68.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.