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Finding the Third Proportional to 39,232.69 and 85,892.06

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Solution

The third proportional to 39,232.69 and 85,892.06 is: 188,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,232.69 : 85,892.06 = 85,892.06 : x
  2. Step 2: Convert to fraction form
    39,232.69/85,892.06 = 85,892.06/x
  3. Step 3: Cross multiply
    39,232.69x = 85,892.06 × 85,892.06
  4. Step 4: Simplify right side
    39,232.69x = 7,377,446,400.50
  5. Step 5: Solve for x
    x = 7,377,446,400.50/39,232.69
  6. Step 6: Final answer
    x = 188,043.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.