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Finding the Third Proportional to 5.46 and 7.20

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Solution

The third proportional to 5.46 and 7.20 is: 9.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.46 : 7.20 = 7.20 : x
  2. Step 2: Convert to fraction form
    5.46/7.20 = 7.20/x
  3. Step 3: Cross multiply
    5.46x = 7.20 × 7.20
  4. Step 4: Simplify right side
    5.46x = 51.81
  5. Step 5: Solve for x
    x = 51.81/5.46
  6. Step 6: Final answer
    x = 9.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.