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Finding the Third Proportional to 4.56 and 5.96

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Solution

The third proportional to 4.56 and 5.96 is: 7.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 5.96 = 5.96 : x
  2. Step 2: Convert to fraction form
    4.56/5.96 = 5.96/x
  3. Step 3: Cross multiply
    4.56x = 5.96 × 5.96
  4. Step 4: Simplify right side
    4.56x = 35.46
  5. Step 5: Solve for x
    x = 35.46/4.56
  6. Step 6: Final answer
    x = 7.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.