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Finding the Third Proportional to 22,414.50 and 31,413.38

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Solution

The third proportional to 22,414.50 and 31,413.38 is: 44,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.50 : 31,413.38 = 31,413.38 : x
  2. Step 2: Convert to fraction form
    22,414.50/31,413.38 = 31,413.38/x
  3. Step 3: Cross multiply
    22,414.50x = 31,413.38 × 31,413.38
  4. Step 4: Simplify right side
    22,414.50x = 986,800,128.89
  5. Step 5: Solve for x
    x = 986,800,128.89/22,414.50
  6. Step 6: Final answer
    x = 44,025.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.