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Finding the Third Proportional to 16.37 and 22.07

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Solution

The third proportional to 16.37 and 22.07 is: 29.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.37 : 22.07 = 22.07 : x
  2. Step 2: Convert to fraction form
    16.37/22.07 = 22.07/x
  3. Step 3: Cross multiply
    16.37x = 22.07 × 22.07
  4. Step 4: Simplify right side
    16.37x = 487.06
  5. Step 5: Solve for x
    x = 487.06/16.37
  6. Step 6: Final answer
    x = 29.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.