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Finding the Third Proportional to 16.08 and 22.99

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Solution

The third proportional to 16.08 and 22.99 is: 32.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.08 : 22.99 = 22.99 : x
  2. Step 2: Convert to fraction form
    16.08/22.99 = 22.99/x
  3. Step 3: Cross multiply
    16.08x = 22.99 × 22.99
  4. Step 4: Simplify right side
    16.08x = 528.64
  5. Step 5: Solve for x
    x = 528.64/16.08
  6. Step 6: Final answer
    x = 32.88

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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.