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Finding the Third Proportional to 11.33 and 29.74

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Solution

The third proportional to 11.33 and 29.74 is: 78.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.33 : 29.74 = 29.74 : x
  2. Step 2: Convert to fraction form
    11.33/29.74 = 29.74/x
  3. Step 3: Cross multiply
    11.33x = 29.74 × 29.74
  4. Step 4: Simplify right side
    11.33x = 884.46
  5. Step 5: Solve for x
    x = 884.46/11.33
  6. Step 6: Final answer
    x = 78.10

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.