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Finding the Third Proportional to 9,616.22 and 10,413.56

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Solution

The third proportional to 9,616.22 and 10,413.56 is: 11,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.22 : 10,413.56 = 10,413.56 : x
  2. Step 2: Convert to fraction form
    9,616.22/10,413.56 = 10,413.56/x
  3. Step 3: Cross multiply
    9,616.22x = 10,413.56 × 10,413.56
  4. Step 4: Simplify right side
    9,616.22x = 108,442,283.94
  5. Step 5: Solve for x
    x = 108,442,283.94/9,616.22
  6. Step 6: Final answer
    x = 11,277.02

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.