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Finding the Third Proportional to 22.04 and 47.20

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Solution

The third proportional to 22.04 and 47.20 is: 101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.04 : 47.20 = 47.20 : x
  2. Step 2: Convert to fraction form
    22.04/47.20 = 47.20/x
  3. Step 3: Cross multiply
    22.04x = 47.20 × 47.20
  4. Step 4: Simplify right side
    22.04x = 2,227.58
  5. Step 5: Solve for x
    x = 2,227.58/22.04
  6. Step 6: Final answer
    x = 101.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.