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Finding the Third Proportional to 19,997.16 and 43,760.81

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Solution

The third proportional to 19,997.16 and 43,760.81 is: 95,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.16 : 43,760.81 = 43,760.81 : x
  2. Step 2: Convert to fraction form
    19,997.16/43,760.81 = 43,760.81/x
  3. Step 3: Cross multiply
    19,997.16x = 43,760.81 × 43,760.81
  4. Step 4: Simplify right side
    19,997.16x = 1,915,008,710.66
  5. Step 5: Solve for x
    x = 1,915,008,710.66/19,997.16
  6. Step 6: Final answer
    x = 95,764.05

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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.