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Finding the Third Proportional to 17.33 and 26.93

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Solution

The third proportional to 17.33 and 26.93 is: 41.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.33 : 26.93 = 26.93 : x
  2. Step 2: Convert to fraction form
    17.33/26.93 = 26.93/x
  3. Step 3: Cross multiply
    17.33x = 26.93 × 26.93
  4. Step 4: Simplify right side
    17.33x = 725.21
  5. Step 5: Solve for x
    x = 725.21/17.33
  6. Step 6: Final answer
    x = 41.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.