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Finding the Third Proportional to 22.44 and 30.47

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Solution

The third proportional to 22.44 and 30.47 is: 41.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.44 : 30.47 = 30.47 : x
  2. Step 2: Convert to fraction form
    22.44/30.47 = 30.47/x
  3. Step 3: Cross multiply
    22.44x = 30.47 × 30.47
  4. Step 4: Simplify right side
    22.44x = 928.34
  5. Step 5: Solve for x
    x = 928.34/22.44
  6. Step 6: Final answer
    x = 41.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.