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Finding the Third Proportional to 39,509.44 and 85,716.56

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Solution

The third proportional to 39,509.44 and 85,716.56 is: 185,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,509.44 : 85,716.56 = 85,716.56 : x
  2. Step 2: Convert to fraction form
    39,509.44/85,716.56 = 85,716.56/x
  3. Step 3: Cross multiply
    39,509.44x = 85,716.56 × 85,716.56
  4. Step 4: Simplify right side
    39,509.44x = 7,347,329,086.82
  5. Step 5: Solve for x
    x = 7,347,329,086.82/39,509.44
  6. Step 6: Final answer
    x = 185,963.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.