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Finding the Third Proportional to 13,483.13 and 20,413.69

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Solution

The third proportional to 13,483.13 and 20,413.69 is: 30,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.13 : 20,413.69 = 20,413.69 : x
  2. Step 2: Convert to fraction form
    13,483.13/20,413.69 = 20,413.69/x
  3. Step 3: Cross multiply
    13,483.13x = 20,413.69 × 20,413.69
  4. Step 4: Simplify right side
    13,483.13x = 416,718,637.35
  5. Step 5: Solve for x
    x = 416,718,637.35/13,483.13
  6. Step 6: Final answer
    x = 30,906.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.