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Finding the Third Proportional to 31,944.38 and 48,362.06

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Solution

The third proportional to 31,944.38 and 48,362.06 is: 73,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,944.38 : 48,362.06 = 48,362.06 : x
  2. Step 2: Convert to fraction form
    31,944.38/48,362.06 = 48,362.06/x
  3. Step 3: Cross multiply
    31,944.38x = 48,362.06 × 48,362.06
  4. Step 4: Simplify right side
    31,944.38x = 2,338,889,089.25
  5. Step 5: Solve for x
    x = 2,338,889,089.25/31,944.38
  6. Step 6: Final answer
    x = 73,217.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.