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Finding the Third Proportional to 7,836.75 and 17,040.38

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Solution

The third proportional to 7,836.75 and 17,040.38 is: 37,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.75 : 17,040.38 = 17,040.38 : x
  2. Step 2: Convert to fraction form
    7,836.75/17,040.38 = 17,040.38/x
  3. Step 3: Cross multiply
    7,836.75x = 17,040.38 × 17,040.38
  4. Step 4: Simplify right side
    7,836.75x = 290,374,380.14
  5. Step 5: Solve for x
    x = 290,374,380.14/7,836.75
  6. Step 6: Final answer
    x = 37,052.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.