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Finding the Third Proportional to 47,363.06 and 70,857.56

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Solution

The third proportional to 47,363.06 and 70,857.56 is: 106,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,363.06 : 70,857.56 = 70,857.56 : x
  2. Step 2: Convert to fraction form
    47,363.06/70,857.56 = 70,857.56/x
  3. Step 3: Cross multiply
    47,363.06x = 70,857.56 × 70,857.56
  4. Step 4: Simplify right side
    47,363.06x = 5,020,794,163.44
  5. Step 5: Solve for x
    x = 5,020,794,163.44/47,363.06
  6. Step 6: Final answer
    x = 106,006.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.