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Finding the Third Proportional to 17,469 and 21,883.50

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Solution

The third proportional to 17,469 and 21,883.50 is: 27,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469 : 21,883.50 = 21,883.50 : x
  2. Step 2: Convert to fraction form
    17,469/21,883.50 = 21,883.50/x
  3. Step 3: Cross multiply
    17,469x = 21,883.50 × 21,883.50
  4. Step 4: Simplify right side
    17,469x = 478,887,572.25
  5. Step 5: Solve for x
    x = 478,887,572.25/17,469
  6. Step 6: Final answer
    x = 27,413.57

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.