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Finding the Third Proportional to 13,953 and 20,413.13

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Solution

The third proportional to 13,953 and 20,413.13 is: 29,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953 : 20,413.13 = 20,413.13 : x
  2. Step 2: Convert to fraction form
    13,953/20,413.13 = 20,413.13/x
  3. Step 3: Cross multiply
    13,953x = 20,413.13 × 20,413.13
  4. Step 4: Simplify right side
    13,953x = 416,695,672.27
  5. Step 5: Solve for x
    x = 416,695,672.27/13,953
  6. Step 6: Final answer
    x = 29,864.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.