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Finding the Third Proportional to 50.69 and 59.97

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Solution

The third proportional to 50.69 and 59.97 is: 70.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.69 : 59.97 = 59.97 : x
  2. Step 2: Convert to fraction form
    50.69/59.97 = 59.97/x
  3. Step 3: Cross multiply
    50.69x = 59.97 × 59.97
  4. Step 4: Simplify right side
    50.69x = 3,596.25
  5. Step 5: Solve for x
    x = 3,596.25/50.69
  6. Step 6: Final answer
    x = 70.95

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.