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Finding the Third Proportional to 47,239.50 and 73,731.75

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Solution

The third proportional to 47,239.50 and 73,731.75 is: 115,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,239.50 : 73,731.75 = 73,731.75 : x
  2. Step 2: Convert to fraction form
    47,239.50/73,731.75 = 73,731.75/x
  3. Step 3: Cross multiply
    47,239.50x = 73,731.75 × 73,731.75
  4. Step 4: Simplify right side
    47,239.50x = 5,436,370,958.06
  5. Step 5: Solve for x
    x = 5,436,370,958.06/47,239.50
  6. Step 6: Final answer
    x = 115,081.04

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.