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Finding the Third Proportional to 47.32 and 103.43

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Solution

The third proportional to 47.32 and 103.43 is: 226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.32 : 103.43 = 103.43 : x
  2. Step 2: Convert to fraction form
    47.32/103.43 = 103.43/x
  3. Step 3: Cross multiply
    47.32x = 103.43 × 103.43
  4. Step 4: Simplify right side
    47.32x = 10,697.70
  5. Step 5: Solve for x
    x = 10,697.70/47.32
  6. Step 6: Final answer
    x = 226.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.