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Finding the Third Proportional to 16,413.75 and 22,614.75

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Solution

The third proportional to 16,413.75 and 22,614.75 is: 31,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.75 : 22,614.75 = 22,614.75 : x
  2. Step 2: Convert to fraction form
    16,413.75/22,614.75 = 22,614.75/x
  3. Step 3: Cross multiply
    16,413.75x = 22,614.75 × 22,614.75
  4. Step 4: Simplify right side
    16,413.75x = 511,426,917.56
  5. Step 5: Solve for x
    x = 511,426,917.56/16,413.75
  6. Step 6: Final answer
    x = 31,158.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.