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Finding the Third Proportional to 10.12 and 22.24

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Solution

The third proportional to 10.12 and 22.24 is: 48.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.12 : 22.24 = 22.24 : x
  2. Step 2: Convert to fraction form
    10.12/22.24 = 22.24/x
  3. Step 3: Cross multiply
    10.12x = 22.24 × 22.24
  4. Step 4: Simplify right side
    10.12x = 494.79
  5. Step 5: Solve for x
    x = 494.79/10.12
  6. Step 6: Final answer
    x = 48.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.