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Finding the Third Proportional to 8,019 and 13,279.50

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Solution

The third proportional to 8,019 and 13,279.50 is: 21,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 13,279.50 = 13,279.50 : x
  2. Step 2: Convert to fraction form
    8,019/13,279.50 = 13,279.50/x
  3. Step 3: Cross multiply
    8,019x = 13,279.50 × 13,279.50
  4. Step 4: Simplify right side
    8,019x = 176,345,120.25
  5. Step 5: Solve for x
    x = 176,345,120.25/8,019
  6. Step 6: Final answer
    x = 21,990.91

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.