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Finding the Third Proportional to 10.46 and 22.09

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Solution

The third proportional to 10.46 and 22.09 is: 46.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.46 : 22.09 = 22.09 : x
  2. Step 2: Convert to fraction form
    10.46/22.09 = 22.09/x
  3. Step 3: Cross multiply
    10.46x = 22.09 × 22.09
  4. Step 4: Simplify right side
    10.46x = 487.93
  5. Step 5: Solve for x
    x = 487.93/10.46
  6. Step 6: Final answer
    x = 46.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.