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Finding the Third Proportional to 8,322.75 and 16,413.75

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Solution

The third proportional to 8,322.75 and 16,413.75 is: 32,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.75 : 16,413.75 = 16,413.75 : x
  2. Step 2: Convert to fraction form
    8,322.75/16,413.75 = 16,413.75/x
  3. Step 3: Cross multiply
    8,322.75x = 16,413.75 × 16,413.75
  4. Step 4: Simplify right side
    8,322.75x = 269,411,189.06
  5. Step 5: Solve for x
    x = 269,411,189.06/8,322.75
  6. Step 6: Final answer
    x = 32,370.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.