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Finding the Third Proportional to 39,917.81 and 86,583.94

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Solution

The third proportional to 39,917.81 and 86,583.94 is: 187,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,917.81 : 86,583.94 = 86,583.94 : x
  2. Step 2: Convert to fraction form
    39,917.81/86,583.94 = 86,583.94/x
  3. Step 3: Cross multiply
    39,917.81x = 86,583.94 × 86,583.94
  4. Step 4: Simplify right side
    39,917.81x = 7,496,778,233.00
  5. Step 5: Solve for x
    x = 7,496,778,233.00/39,917.81
  6. Step 6: Final answer
    x = 187,805.34

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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.