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Finding the Third Proportional to 39,340.69 and 85,665.09

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Solution

The third proportional to 39,340.69 and 85,665.09 is: 186,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,340.69 : 85,665.09 = 85,665.09 : x
  2. Step 2: Convert to fraction form
    39,340.69/85,665.09 = 85,665.09/x
  3. Step 3: Cross multiply
    39,340.69x = 85,665.09 × 85,665.09
  4. Step 4: Simplify right side
    39,340.69x = 7,338,508,287.20
  5. Step 5: Solve for x
    x = 7,338,508,287.20/39,340.69
  6. Step 6: Final answer
    x = 186,537.37

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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.