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Finding the Third Proportional to 8.96 and 13.45

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Solution

The third proportional to 8.96 and 13.45 is: 20.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.96 : 13.45 = 13.45 : x
  2. Step 2: Convert to fraction form
    8.96/13.45 = 13.45/x
  3. Step 3: Cross multiply
    8.96x = 13.45 × 13.45
  4. Step 4: Simplify right side
    8.96x = 180.83
  5. Step 5: Solve for x
    x = 180.83/8.96
  6. Step 6: Final answer
    x = 20.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.