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Finding the Third Proportional to 11.17 and 29.34

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Solution

The third proportional to 11.17 and 29.34 is: 77.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.17 : 29.34 = 29.34 : x
  2. Step 2: Convert to fraction form
    11.17/29.34 = 29.34/x
  3. Step 3: Cross multiply
    11.17x = 29.34 × 29.34
  4. Step 4: Simplify right side
    11.17x = 860.82
  5. Step 5: Solve for x
    x = 860.82/11.17
  6. Step 6: Final answer
    x = 77.05

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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.