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Finding the Third Proportional to 47,631.73 and 73,094.59

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Solution

The third proportional to 47,631.73 and 73,094.59 is: 112,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,631.73 : 73,094.59 = 73,094.59 : x
  2. Step 2: Convert to fraction form
    47,631.73/73,094.59 = 73,094.59/x
  3. Step 3: Cross multiply
    47,631.73x = 73,094.59 × 73,094.59
  4. Step 4: Simplify right side
    47,631.73x = 5,342,819,064.43
  5. Step 5: Solve for x
    x = 5,342,819,064.43/47,631.73
  6. Step 6: Final answer
    x = 112,169.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.