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Finding the Third Proportional to 4.56 and 7.22

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Solution

The third proportional to 4.56 and 7.22 is: 11.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 7.22 = 7.22 : x
  2. Step 2: Convert to fraction form
    4.56/7.22 = 7.22/x
  3. Step 3: Cross multiply
    4.56x = 7.22 × 7.22
  4. Step 4: Simplify right side
    4.56x = 52.11
  5. Step 5: Solve for x
    x = 52.11/4.56
  6. Step 6: Final answer
    x = 11.42

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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.