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Finding the Third Proportional to 17,274.52 and 37,675.76

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Solution

The third proportional to 17,274.52 and 37,675.76 is: 82,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.52 : 37,675.76 = 37,675.76 : x
  2. Step 2: Convert to fraction form
    17,274.52/37,675.76 = 37,675.76/x
  3. Step 3: Cross multiply
    17,274.52x = 37,675.76 × 37,675.76
  4. Step 4: Simplify right side
    17,274.52x = 1,419,462,726.75
  5. Step 5: Solve for x
    x = 1,419,462,726.75/17,274.52
  6. Step 6: Final answer
    x = 82,170.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.