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Finding the Third Proportional to 7,362.25 and 15,716.75

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Solution

The third proportional to 7,362.25 and 15,716.75 is: 33,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.25 : 15,716.75 = 15,716.75 : x
  2. Step 2: Convert to fraction form
    7,362.25/15,716.75 = 15,716.75/x
  3. Step 3: Cross multiply
    7,362.25x = 15,716.75 × 15,716.75
  4. Step 4: Simplify right side
    7,362.25x = 247,016,230.56
  5. Step 5: Solve for x
    x = 247,016,230.56/7,362.25
  6. Step 6: Final answer
    x = 33,551.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.