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Finding the Third Proportional to 44.69 and 66.44

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Solution

The third proportional to 44.69 and 66.44 is: 98.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.69 : 66.44 = 66.44 : x
  2. Step 2: Convert to fraction form
    44.69/66.44 = 66.44/x
  3. Step 3: Cross multiply
    44.69x = 66.44 × 66.44
  4. Step 4: Simplify right side
    44.69x = 4,413.94
  5. Step 5: Solve for x
    x = 4,413.94/44.69
  6. Step 6: Final answer
    x = 98.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.