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Finding the Third Proportional to 6,905.25 and 16,413.75

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Solution

The third proportional to 6,905.25 and 16,413.75 is: 39,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.25 : 16,413.75 = 16,413.75 : x
  2. Step 2: Convert to fraction form
    6,905.25/16,413.75 = 16,413.75/x
  3. Step 3: Cross multiply
    6,905.25x = 16,413.75 × 16,413.75
  4. Step 4: Simplify right side
    6,905.25x = 269,411,189.06
  5. Step 5: Solve for x
    x = 269,411,189.06/6,905.25
  6. Step 6: Final answer
    x = 39,015.41

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.