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Finding the Third Proportional to 30,942.75 and 47,183.63

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Solution

The third proportional to 30,942.75 and 47,183.63 is: 71,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.75 : 47,183.63 = 47,183.63 : x
  2. Step 2: Convert to fraction form
    30,942.75/47,183.63 = 47,183.63/x
  3. Step 3: Cross multiply
    30,942.75x = 47,183.63 × 47,183.63
  4. Step 4: Simplify right side
    30,942.75x = 2,226,294,468.14
  5. Step 5: Solve for x
    x = 2,226,294,468.14/30,942.75
  6. Step 6: Final answer
    x = 71,948.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.