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Finding the Third Proportional to 39,435.77 and 85,560.68

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Solution

The third proportional to 39,435.77 and 85,560.68 is: 185,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,435.77 : 85,560.68 = 85,560.68 : x
  2. Step 2: Convert to fraction form
    39,435.77/85,560.68 = 85,560.68/x
  3. Step 3: Cross multiply
    39,435.77x = 85,560.68 × 85,560.68
  4. Step 4: Simplify right side
    39,435.77x = 7,320,629,908.59
  5. Step 5: Solve for x
    x = 7,320,629,908.59/39,435.77
  6. Step 6: Final answer
    x = 185,634.27

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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.