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Finding the Third Proportional to 4,570.49 and 6,825.83

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Solution

The third proportional to 4,570.49 and 6,825.83 is: 10,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.49 : 6,825.83 = 6,825.83 : x
  2. Step 2: Convert to fraction form
    4,570.49/6,825.83 = 6,825.83/x
  3. Step 3: Cross multiply
    4,570.49x = 6,825.83 × 6,825.83
  4. Step 4: Simplify right side
    4,570.49x = 46,591,982.92
  5. Step 5: Solve for x
    x = 46,591,982.92/4,570.49
  6. Step 6: Final answer
    x = 10,194.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.