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Finding the Third Proportional to 57,986.40 and 89,785.37

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Solution

The third proportional to 57,986.40 and 89,785.37 is: 139,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,986.40 : 89,785.37 = 89,785.37 : x
  2. Step 2: Convert to fraction form
    57,986.40/89,785.37 = 89,785.37/x
  3. Step 3: Cross multiply
    57,986.40x = 89,785.37 × 89,785.37
  4. Step 4: Simplify right side
    57,986.40x = 8,061,412,097.97
  5. Step 5: Solve for x
    x = 8,061,412,097.97/57,986.40
  6. Step 6: Final answer
    x = 139,022.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.