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Finding the Third Proportional to 12.05 and 17.76

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Solution

The third proportional to 12.05 and 17.76 is: 26.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 17.76 = 17.76 : x
  2. Step 2: Convert to fraction form
    12.05/17.76 = 17.76/x
  3. Step 3: Cross multiply
    12.05x = 17.76 × 17.76
  4. Step 4: Simplify right side
    12.05x = 315.27
  5. Step 5: Solve for x
    x = 315.27/12.05
  6. Step 6: Final answer
    x = 26.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.