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Finding the Third Proportional to 48,212.72 and 72,034.31

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Solution

The third proportional to 48,212.72 and 72,034.31 is: 107,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,212.72 : 72,034.31 = 72,034.31 : x
  2. Step 2: Convert to fraction form
    48,212.72/72,034.31 = 72,034.31/x
  3. Step 3: Cross multiply
    48,212.72x = 72,034.31 × 72,034.31
  4. Step 4: Simplify right side
    48,212.72x = 5,188,942,177.35
  5. Step 5: Solve for x
    x = 5,188,942,177.35/48,212.72
  6. Step 6: Final answer
    x = 107,626.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.