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Finding the Third Proportional to 2,737.69 and 6,703.31

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Solution

The third proportional to 2,737.69 and 6,703.31 is: 16,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.69 : 6,703.31 = 6,703.31 : x
  2. Step 2: Convert to fraction form
    2,737.69/6,703.31 = 6,703.31/x
  3. Step 3: Cross multiply
    2,737.69x = 6,703.31 × 6,703.31
  4. Step 4: Simplify right side
    2,737.69x = 44,934,398.47
  5. Step 5: Solve for x
    x = 44,934,398.47/2,737.69
  6. Step 6: Final answer
    x = 16,413.27

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.