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Finding the Third Proportional to 5.62 and 8.96

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Solution

The third proportional to 5.62 and 8.96 is: 14.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.62 : 8.96 = 8.96 : x
  2. Step 2: Convert to fraction form
    5.62/8.96 = 8.96/x
  3. Step 3: Cross multiply
    5.62x = 8.96 × 8.96
  4. Step 4: Simplify right side
    5.62x = 80.34
  5. Step 5: Solve for x
    x = 80.34/5.62
  6. Step 6: Final answer
    x = 14.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.