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Finding the Third Proportional to 12.89 and 29.62

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Solution

The third proportional to 12.89 and 29.62 is: 68.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.89 : 29.62 = 29.62 : x
  2. Step 2: Convert to fraction form
    12.89/29.62 = 29.62/x
  3. Step 3: Cross multiply
    12.89x = 29.62 × 29.62
  4. Step 4: Simplify right side
    12.89x = 877.62
  5. Step 5: Solve for x
    x = 877.62/12.89
  6. Step 6: Final answer
    x = 68.07

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.