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Finding the Third Proportional to 4.56 and 7.98

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Solution

The third proportional to 4.56 and 7.98 is: 13.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 7.98 = 7.98 : x
  2. Step 2: Convert to fraction form
    4.56/7.98 = 7.98/x
  3. Step 3: Cross multiply
    4.56x = 7.98 × 7.98
  4. Step 4: Simplify right side
    4.56x = 63.72
  5. Step 5: Solve for x
    x = 63.72/4.56
  6. Step 6: Final answer
    x = 13.97

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.