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Finding the Third Proportional to 11.74 and 16.40

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Solution

The third proportional to 11.74 and 16.40 is: 22.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.74 : 16.40 = 16.40 : x
  2. Step 2: Convert to fraction form
    11.74/16.40 = 16.40/x
  3. Step 3: Cross multiply
    11.74x = 16.40 × 16.40
  4. Step 4: Simplify right side
    11.74x = 269.05
  5. Step 5: Solve for x
    x = 269.05/11.74
  6. Step 6: Final answer
    x = 22.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.