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Finding the Third Proportional to 6,568 and 15,884

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Solution

The third proportional to 6,568 and 15,884 is: 38,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568 : 15,884 = 15,884 : x
  2. Step 2: Convert to fraction form
    6,568/15,884 = 15,884/x
  3. Step 3: Cross multiply
    6,568x = 15,884 × 15,884
  4. Step 4: Simplify right side
    6,568x = 252,301,456
  5. Step 5: Solve for x
    x = 252,301,456/6,568
  6. Step 6: Final answer
    x = 38,413.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.