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Finding the Third Proportional to 22.83 and 47.45

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Solution

The third proportional to 22.83 and 47.45 is: 98.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 47.45 = 47.45 : x
  2. Step 2: Convert to fraction form
    22.83/47.45 = 47.45/x
  3. Step 3: Cross multiply
    22.83x = 47.45 × 47.45
  4. Step 4: Simplify right side
    22.83x = 2,251.84
  5. Step 5: Solve for x
    x = 2,251.84/22.83
  6. Step 6: Final answer
    x = 98.65

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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.