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Finding the Third Proportional to 40,009.50 and 86,805

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Solution

The third proportional to 40,009.50 and 86,805 is: 188,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,009.50 : 86,805 = 86,805 : x
  2. Step 2: Convert to fraction form
    40,009.50/86,805 = 86,805/x
  3. Step 3: Cross multiply
    40,009.50x = 86,805 × 86,805
  4. Step 4: Simplify right side
    40,009.50x = 7,535,108,025
  5. Step 5: Solve for x
    x = 7,535,108,025/40,009.50
  6. Step 6: Final answer
    x = 188,332.97

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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.