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Finding the Third Proportional to 10.38 and 22.44

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Solution

The third proportional to 10.38 and 22.44 is: 48.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.38 : 22.44 = 22.44 : x
  2. Step 2: Convert to fraction form
    10.38/22.44 = 22.44/x
  3. Step 3: Cross multiply
    10.38x = 22.44 × 22.44
  4. Step 4: Simplify right side
    10.38x = 503.44
  5. Step 5: Solve for x
    x = 503.44/10.38
  6. Step 6: Final answer
    x = 48.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.