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Finding the Third Proportional to 30.88 and 60.69

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Solution

The third proportional to 30.88 and 60.69 is: 119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.88 : 60.69 = 60.69 : x
  2. Step 2: Convert to fraction form
    30.88/60.69 = 60.69/x
  3. Step 3: Cross multiply
    30.88x = 60.69 × 60.69
  4. Step 4: Simplify right side
    30.88x = 3,682.97
  5. Step 5: Solve for x
    x = 3,682.97/30.88
  6. Step 6: Final answer
    x = 119.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.