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Finding the Third Proportional to 16.02 and 22.83

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Solution

The third proportional to 16.02 and 22.83 is: 32.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.02 : 22.83 = 22.83 : x
  2. Step 2: Convert to fraction form
    16.02/22.83 = 22.83/x
  3. Step 3: Cross multiply
    16.02x = 22.83 × 22.83
  4. Step 4: Simplify right side
    16.02x = 521.01
  5. Step 5: Solve for x
    x = 521.01/16.02
  6. Step 6: Final answer
    x = 32.53

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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.