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Finding the Third Proportional to 43,112.25 and 57,935.25

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Solution

The third proportional to 43,112.25 and 57,935.25 is: 77,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,112.25 : 57,935.25 = 57,935.25 : x
  2. Step 2: Convert to fraction form
    43,112.25/57,935.25 = 57,935.25/x
  3. Step 3: Cross multiply
    43,112.25x = 57,935.25 × 57,935.25
  4. Step 4: Simplify right side
    43,112.25x = 3,356,493,192.56
  5. Step 5: Solve for x
    x = 3,356,493,192.56/43,112.25
  6. Step 6: Final answer
    x = 77,854.74

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.