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Finding the Third Proportional to 8,588.50 and 13,661.75

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Solution

The third proportional to 8,588.50 and 13,661.75 is: 21,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.50 : 13,661.75 = 13,661.75 : x
  2. Step 2: Convert to fraction form
    8,588.50/13,661.75 = 13,661.75/x
  3. Step 3: Cross multiply
    8,588.50x = 13,661.75 × 13,661.75
  4. Step 4: Simplify right side
    8,588.50x = 186,643,413.06
  5. Step 5: Solve for x
    x = 186,643,413.06/8,588.50
  6. Step 6: Final answer
    x = 21,731.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.