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Finding the Third Proportional to 39,232.69 and 85,107.38

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Solution

The third proportional to 39,232.69 and 85,107.38 is: 184,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,232.69 : 85,107.38 = 85,107.38 : x
  2. Step 2: Convert to fraction form
    39,232.69/85,107.38 = 85,107.38/x
  3. Step 3: Cross multiply
    39,232.69x = 85,107.38 × 85,107.38
  4. Step 4: Simplify right side
    39,232.69x = 7,243,265,279.39
  5. Step 5: Solve for x
    x = 7,243,265,279.39/39,232.69
  6. Step 6: Final answer
    x = 184,623.22

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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.