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Finding the Third Proportional to 16.46 and 23.59

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Solution

The third proportional to 16.46 and 23.59 is: 33.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.46 : 23.59 = 23.59 : x
  2. Step 2: Convert to fraction form
    16.46/23.59 = 23.59/x
  3. Step 3: Cross multiply
    16.46x = 23.59 × 23.59
  4. Step 4: Simplify right side
    16.46x = 556.49
  5. Step 5: Solve for x
    x = 556.49/16.46
  6. Step 6: Final answer
    x = 33.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.