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Finding the Third Proportional to 17,643.94 and 37,713.38

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Solution

The third proportional to 17,643.94 and 37,713.38 is: 80,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.94 : 37,713.38 = 37,713.38 : x
  2. Step 2: Convert to fraction form
    17,643.94/37,713.38 = 37,713.38/x
  3. Step 3: Cross multiply
    17,643.94x = 37,713.38 × 37,713.38
  4. Step 4: Simplify right side
    17,643.94x = 1,422,298,653.89
  5. Step 5: Solve for x
    x = 1,422,298,653.89/17,643.94
  6. Step 6: Final answer
    x = 80,611.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.