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Finding the Third Proportional to 16.93 and 26.42

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Solution

The third proportional to 16.93 and 26.42 is: 41.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.93 : 26.42 = 26.42 : x
  2. Step 2: Convert to fraction form
    16.93/26.42 = 26.42/x
  3. Step 3: Cross multiply
    16.93x = 26.42 × 26.42
  4. Step 4: Simplify right side
    16.93x = 698.01
  5. Step 5: Solve for x
    x = 698.01/16.93
  6. Step 6: Final answer
    x = 41.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.