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Finding the Third Proportional to 7,324 and 16,105

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Solution

The third proportional to 7,324 and 16,105 is: 35,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324 : 16,105 = 16,105 : x
  2. Step 2: Convert to fraction form
    7,324/16,105 = 16,105/x
  3. Step 3: Cross multiply
    7,324x = 16,105 × 16,105
  4. Step 4: Simplify right side
    7,324x = 259,371,025
  5. Step 5: Solve for x
    x = 259,371,025/7,324
  6. Step 6: Final answer
    x = 35,413.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.