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Finding the Third Proportional to 3,285 and 7,055.25

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Solution

The third proportional to 3,285 and 7,055.25 is: 15,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285 : 7,055.25 = 7,055.25 : x
  2. Step 2: Convert to fraction form
    3,285/7,055.25 = 7,055.25/x
  3. Step 3: Cross multiply
    3,285x = 7,055.25 × 7,055.25
  4. Step 4: Simplify right side
    3,285x = 49,776,552.56
  5. Step 5: Solve for x
    x = 49,776,552.56/3,285
  6. Step 6: Final answer
    x = 15,152.68

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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.