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Finding the Third Proportional to 47,751.75 and 72,665.25

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Solution

The third proportional to 47,751.75 and 72,665.25 is: 110,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.75 : 72,665.25 = 72,665.25 : x
  2. Step 2: Convert to fraction form
    47,751.75/72,665.25 = 72,665.25/x
  3. Step 3: Cross multiply
    47,751.75x = 72,665.25 × 72,665.25
  4. Step 4: Simplify right side
    47,751.75x = 5,280,238,557.56
  5. Step 5: Solve for x
    x = 5,280,238,557.56/47,751.75
  6. Step 6: Final answer
    x = 110,576.86

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