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Finding the Third Proportional to 29.86 and 60.11

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Solution

The third proportional to 29.86 and 60.11 is: 120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.86 : 60.11 = 60.11 : x
  2. Step 2: Convert to fraction form
    29.86/60.11 = 60.11/x
  3. Step 3: Cross multiply
    29.86x = 60.11 × 60.11
  4. Step 4: Simplify right side
    29.86x = 3,612.87
  5. Step 5: Solve for x
    x = 3,612.87/29.86
  6. Step 6: Final answer
    x = 120.99

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.