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Finding the Third Proportional to 16.52 and 38.32

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Solution

The third proportional to 16.52 and 38.32 is: 88.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.52 : 38.32 = 38.32 : x
  2. Step 2: Convert to fraction form
    16.52/38.32 = 38.32/x
  3. Step 3: Cross multiply
    16.52x = 38.32 × 38.32
  4. Step 4: Simplify right side
    16.52x = 1,468.45
  5. Step 5: Solve for x
    x = 1,468.45/16.52
  6. Step 6: Final answer
    x = 88.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.