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Finding the Third Proportional to 44.86 and 59.77

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Solution

The third proportional to 44.86 and 59.77 is: 79.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.86 : 59.77 = 59.77 : x
  2. Step 2: Convert to fraction form
    44.86/59.77 = 59.77/x
  3. Step 3: Cross multiply
    44.86x = 59.77 × 59.77
  4. Step 4: Simplify right side
    44.86x = 3,571.93
  5. Step 5: Solve for x
    x = 3,571.93/44.86
  6. Step 6: Final answer
    x = 79.63

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.