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Finding the Third Proportional to 34.41 and 49.59

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Solution

The third proportional to 34.41 and 49.59 is: 71.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.41 : 49.59 = 49.59 : x
  2. Step 2: Convert to fraction form
    34.41/49.59 = 49.59/x
  3. Step 3: Cross multiply
    34.41x = 49.59 × 49.59
  4. Step 4: Simplify right side
    34.41x = 2,459.54
  5. Step 5: Solve for x
    x = 2,459.54/34.41
  6. Step 6: Final answer
    x = 71.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.