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Finding the Third Proportional to 9.49 and 22.46

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Solution

The third proportional to 9.49 and 22.46 is: 53.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.49 : 22.46 = 22.46 : x
  2. Step 2: Convert to fraction form
    9.49/22.46 = 22.46/x
  3. Step 3: Cross multiply
    9.49x = 22.46 × 22.46
  4. Step 4: Simplify right side
    9.49x = 504.67
  5. Step 5: Solve for x
    x = 504.67/9.49
  6. Step 6: Final answer
    x = 53.17

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.