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Finding the Third Proportional to 8.96 and 14.18

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Solution

The third proportional to 8.96 and 14.18 is: 22.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.96 : 14.18 = 14.18 : x
  2. Step 2: Convert to fraction form
    8.96/14.18 = 14.18/x
  3. Step 3: Cross multiply
    8.96x = 14.18 × 14.18
  4. Step 4: Simplify right side
    8.96x = 201.04
  5. Step 5: Solve for x
    x = 201.04/8.96
  6. Step 6: Final answer
    x = 22.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.