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Finding the Third Proportional to 22.69 and 47.30

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Solution

The third proportional to 22.69 and 47.30 is: 98.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.69 : 47.30 = 47.30 : x
  2. Step 2: Convert to fraction form
    22.69/47.30 = 47.30/x
  3. Step 3: Cross multiply
    22.69x = 47.30 × 47.30
  4. Step 4: Simplify right side
    22.69x = 2,236.99
  5. Step 5: Solve for x
    x = 2,236.99/22.69
  6. Step 6: Final answer
    x = 98.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.