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Finding the Third Proportional to 22,333.50 and 30,413.25

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Solution

The third proportional to 22,333.50 and 30,413.25 is: 41,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.50 : 30,413.25 = 30,413.25 : x
  2. Step 2: Convert to fraction form
    22,333.50/30,413.25 = 30,413.25/x
  3. Step 3: Cross multiply
    22,333.50x = 30,413.25 × 30,413.25
  4. Step 4: Simplify right side
    22,333.50x = 924,965,775.56
  5. Step 5: Solve for x
    x = 924,965,775.56/22,333.50
  6. Step 6: Final answer
    x = 41,416.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.