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Finding the Third Proportional to 40,105.13 and 56,998.69

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Solution

The third proportional to 40,105.13 and 56,998.69 is: 81,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,105.13 : 56,998.69 = 56,998.69 : x
  2. Step 2: Convert to fraction form
    40,105.13/56,998.69 = 56,998.69/x
  3. Step 3: Cross multiply
    40,105.13x = 56,998.69 × 56,998.69
  4. Step 4: Simplify right side
    40,105.13x = 3,248,850,376.72
  5. Step 5: Solve for x
    x = 3,248,850,376.72/40,105.13
  6. Step 6: Final answer
    x = 81,008.36

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.