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Finding the Third Proportional to 9.44 and 22.19

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Solution

The third proportional to 9.44 and 22.19 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.44 : 22.19 = 22.19 : x
  2. Step 2: Convert to fraction form
    9.44/22.19 = 22.19/x
  3. Step 3: Cross multiply
    9.44x = 22.19 × 22.19
  4. Step 4: Simplify right side
    9.44x = 492.29
  5. Step 5: Solve for x
    x = 492.29/9.44
  6. Step 6: Final answer
    x = 52.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.