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Finding the Third Proportional to 13,683.70 and 29,413.44

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Solution

The third proportional to 13,683.70 and 29,413.44 is: 63,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.70 : 29,413.44 = 29,413.44 : x
  2. Step 2: Convert to fraction form
    13,683.70/29,413.44 = 29,413.44/x
  3. Step 3: Cross multiply
    13,683.70x = 29,413.44 × 29,413.44
  4. Step 4: Simplify right side
    13,683.70x = 865,150,535.36
  5. Step 5: Solve for x
    x = 865,150,535.36/13,683.70
  6. Step 6: Final answer
    x = 63,224.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.