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Finding the Third Proportional to 59.91 and 84.66

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Solution

The third proportional to 59.91 and 84.66 is: 119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.91 : 84.66 = 84.66 : x
  2. Step 2: Convert to fraction form
    59.91/84.66 = 84.66/x
  3. Step 3: Cross multiply
    59.91x = 84.66 × 84.66
  4. Step 4: Simplify right side
    59.91x = 7,166.68
  5. Step 5: Solve for x
    x = 7,166.68/59.91
  6. Step 6: Final answer
    x = 119.63

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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.