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Finding the Third Proportional to 47.53 and 102.33

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Solution

The third proportional to 47.53 and 102.33 is: 220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.53 : 102.33 = 102.33 : x
  2. Step 2: Convert to fraction form
    47.53/102.33 = 102.33/x
  3. Step 3: Cross multiply
    47.53x = 102.33 × 102.33
  4. Step 4: Simplify right side
    47.53x = 10,471.05
  5. Step 5: Solve for x
    x = 10,471.05/47.53
  6. Step 6: Final answer
    x = 220.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.