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Finding the Third Proportional to 39,745.69 and 86,725.69

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Solution

The third proportional to 39,745.69 and 86,725.69 is: 189,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,745.69 : 86,725.69 = 86,725.69 : x
  2. Step 2: Convert to fraction form
    39,745.69/86,725.69 = 86,725.69/x
  3. Step 3: Cross multiply
    39,745.69x = 86,725.69 × 86,725.69
  4. Step 4: Simplify right side
    39,745.69x = 7,521,344,872.35
  5. Step 5: Solve for x
    x = 7,521,344,872.35/39,745.69
  6. Step 6: Final answer
    x = 189,236.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.