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Finding the Third Proportional to 7,994.25 and 17,349.75

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Solution

The third proportional to 7,994.25 and 17,349.75 is: 37,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.25 : 17,349.75 = 17,349.75 : x
  2. Step 2: Convert to fraction form
    7,994.25/17,349.75 = 17,349.75/x
  3. Step 3: Cross multiply
    7,994.25x = 17,349.75 × 17,349.75
  4. Step 4: Simplify right side
    7,994.25x = 301,013,825.06
  5. Step 5: Solve for x
    x = 301,013,825.06/7,994.25
  6. Step 6: Final answer
    x = 37,653.79

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