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Finding the Third Proportional to 37,943.44 and 54,055.69

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Solution

The third proportional to 37,943.44 and 54,055.69 is: 77,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,943.44 : 54,055.69 = 54,055.69 : x
  2. Step 2: Convert to fraction form
    37,943.44/54,055.69 = 54,055.69/x
  3. Step 3: Cross multiply
    37,943.44x = 54,055.69 × 54,055.69
  4. Step 4: Simplify right side
    37,943.44x = 2,922,017,351.10
  5. Step 5: Solve for x
    x = 2,922,017,351.10/37,943.44
  6. Step 6: Final answer
    x = 77,009.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.