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Finding the Third Proportional to 10.81 and 22.19

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Solution

The third proportional to 10.81 and 22.19 is: 45.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.81 : 22.19 = 22.19 : x
  2. Step 2: Convert to fraction form
    10.81/22.19 = 22.19/x
  3. Step 3: Cross multiply
    10.81x = 22.19 × 22.19
  4. Step 4: Simplify right side
    10.81x = 492.29
  5. Step 5: Solve for x
    x = 492.29/10.81
  6. Step 6: Final answer
    x = 45.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.