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Finding the Third Proportional to 17.48 and 38.16

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Solution

The third proportional to 17.48 and 38.16 is: 83.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.48 : 38.16 = 38.16 : x
  2. Step 2: Convert to fraction form
    17.48/38.16 = 38.16/x
  3. Step 3: Cross multiply
    17.48x = 38.16 × 38.16
  4. Step 4: Simplify right side
    17.48x = 1,455.90
  5. Step 5: Solve for x
    x = 1,455.90/17.48
  6. Step 6: Final answer
    x = 83.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.