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Finding the Third Proportional to 17,919.56 and 37,973.81

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Solution

The third proportional to 17,919.56 and 37,973.81 is: 80,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.56 : 37,973.81 = 37,973.81 : x
  2. Step 2: Convert to fraction form
    17,919.56/37,973.81 = 37,973.81/x
  3. Step 3: Cross multiply
    17,919.56x = 37,973.81 × 37,973.81
  4. Step 4: Simplify right side
    17,919.56x = 1,442,010,435.79
  5. Step 5: Solve for x
    x = 1,442,010,435.79/17,919.56
  6. Step 6: Final answer
    x = 80,471.30

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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.