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Finding the Third Proportional to 20,413.13 and 29,921.06

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Solution

The third proportional to 20,413.13 and 29,921.06 is: 43,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.13 : 29,921.06 = 29,921.06 : x
  2. Step 2: Convert to fraction form
    20,413.13/29,921.06 = 29,921.06/x
  3. Step 3: Cross multiply
    20,413.13x = 29,921.06 × 29,921.06
  4. Step 4: Simplify right side
    20,413.13x = 895,269,981.13
  5. Step 5: Solve for x
    x = 895,269,981.13/20,413.13
  6. Step 6: Final answer
    x = 43,857.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.