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Finding the Third Proportional to 16.45 and 24.26

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Solution

The third proportional to 16.45 and 24.26 is: 35.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 24.26 = 24.26 : x
  2. Step 2: Convert to fraction form
    16.45/24.26 = 24.26/x
  3. Step 3: Cross multiply
    16.45x = 24.26 × 24.26
  4. Step 4: Simplify right side
    16.45x = 588.44
  5. Step 5: Solve for x
    x = 588.44/16.45
  6. Step 6: Final answer
    x = 35.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.