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Finding the Third Proportional to 6,843.75 and 10,251.75

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Solution

The third proportional to 6,843.75 and 10,251.75 is: 15,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.75 : 10,251.75 = 10,251.75 : x
  2. Step 2: Convert to fraction form
    6,843.75/10,251.75 = 10,251.75/x
  3. Step 3: Cross multiply
    6,843.75x = 10,251.75 × 10,251.75
  4. Step 4: Simplify right side
    6,843.75x = 105,098,378.06
  5. Step 5: Solve for x
    x = 105,098,378.06/6,843.75
  6. Step 6: Final answer
    x = 15,356.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.