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Finding the Third Proportional to 39,791.25 and 86,143.50

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Solution

The third proportional to 39,791.25 and 86,143.50 is: 186,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,791.25 : 86,143.50 = 86,143.50 : x
  2. Step 2: Convert to fraction form
    39,791.25/86,143.50 = 86,143.50/x
  3. Step 3: Cross multiply
    39,791.25x = 86,143.50 × 86,143.50
  4. Step 4: Simplify right side
    39,791.25x = 7,420,702,592.25
  5. Step 5: Solve for x
    x = 7,420,702,592.25/39,791.25
  6. Step 6: Final answer
    x = 186,490.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.