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Finding the Third Proportional to 47,424 and 69,183

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Solution

The third proportional to 47,424 and 69,183 is: 100,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,424 : 69,183 = 69,183 : x
  2. Step 2: Convert to fraction form
    47,424/69,183 = 69,183/x
  3. Step 3: Cross multiply
    47,424x = 69,183 × 69,183
  4. Step 4: Simplify right side
    47,424x = 4,786,287,489
  5. Step 5: Solve for x
    x = 4,786,287,489/47,424
  6. Step 6: Final answer
    x = 100,925.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.