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Finding the Third Proportional to 4.49 and 6.16

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Solution

The third proportional to 4.49 and 6.16 is: 8.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.49 : 6.16 = 6.16 : x
  2. Step 2: Convert to fraction form
    4.49/6.16 = 6.16/x
  3. Step 3: Cross multiply
    4.49x = 6.16 × 6.16
  4. Step 4: Simplify right side
    4.49x = 37.92
  5. Step 5: Solve for x
    x = 37.92/4.49
  6. Step 6: Final answer
    x = 8.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.