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Finding the Third Proportional to 3,001.50 and 6,801.75

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Solution

The third proportional to 3,001.50 and 6,801.75 is: 15,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.50 : 6,801.75 = 6,801.75 : x
  2. Step 2: Convert to fraction form
    3,001.50/6,801.75 = 6,801.75/x
  3. Step 3: Cross multiply
    3,001.50x = 6,801.75 × 6,801.75
  4. Step 4: Simplify right side
    3,001.50x = 46,263,803.06
  5. Step 5: Solve for x
    x = 46,263,803.06/3,001.50
  6. Step 6: Final answer
    x = 15,413.56

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.