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Finding the Third Proportional to 17,682.05 and 37,406.81

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Solution

The third proportional to 17,682.05 and 37,406.81 is: 79,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.05 : 37,406.81 = 37,406.81 : x
  2. Step 2: Convert to fraction form
    17,682.05/37,406.81 = 37,406.81/x
  3. Step 3: Cross multiply
    17,682.05x = 37,406.81 × 37,406.81
  4. Step 4: Simplify right side
    17,682.05x = 1,399,269,621.41
  5. Step 5: Solve for x
    x = 1,399,269,621.41/17,682.05
  6. Step 6: Final answer
    x = 79,135.05

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.