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Finding the Third Proportional to 12,409 and 26,923

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Solution

The third proportional to 12,409 and 26,923 is: 58,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409 : 26,923 = 26,923 : x
  2. Step 2: Convert to fraction form
    12,409/26,923 = 26,923/x
  3. Step 3: Cross multiply
    12,409x = 26,923 × 26,923
  4. Step 4: Simplify right side
    12,409x = 724,847,929
  5. Step 5: Solve for x
    x = 724,847,929/12,409
  6. Step 6: Final answer
    x = 58,413.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.