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Finding the Third Proportional to 4.49 and 9.82

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Solution

The third proportional to 4.49 and 9.82 is: 21.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.49 : 9.82 = 9.82 : x
  2. Step 2: Convert to fraction form
    4.49/9.82 = 9.82/x
  3. Step 3: Cross multiply
    4.49x = 9.82 × 9.82
  4. Step 4: Simplify right side
    4.49x = 96.47
  5. Step 5: Solve for x
    x = 96.47/4.49
  6. Step 6: Final answer
    x = 21.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.