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Finding the Third Proportional to 22.30 and 47.49

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Solution

The third proportional to 22.30 and 47.49 is: 101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.30 : 47.49 = 47.49 : x
  2. Step 2: Convert to fraction form
    22.30/47.49 = 47.49/x
  3. Step 3: Cross multiply
    22.30x = 47.49 × 47.49
  4. Step 4: Simplify right side
    22.30x = 2,255.42
  5. Step 5: Solve for x
    x = 2,255.42/22.30
  6. Step 6: Final answer
    x = 101.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.