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Finding the Third Proportional to 7,940.25 and 17,052.75

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Solution

The third proportional to 7,940.25 and 17,052.75 is: 36,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.25 : 17,052.75 = 17,052.75 : x
  2. Step 2: Convert to fraction form
    7,940.25/17,052.75 = 17,052.75/x
  3. Step 3: Cross multiply
    7,940.25x = 17,052.75 × 17,052.75
  4. Step 4: Simplify right side
    7,940.25x = 290,796,282.56
  5. Step 5: Solve for x
    x = 290,796,282.56/7,940.25
  6. Step 6: Final answer
    x = 36,623.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.