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Finding the Third Proportional to 8,065 and 12,219

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Solution

The third proportional to 8,065 and 12,219 is: 18,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065 : 12,219 = 12,219 : x
  2. Step 2: Convert to fraction form
    8,065/12,219 = 12,219/x
  3. Step 3: Cross multiply
    8,065x = 12,219 × 12,219
  4. Step 4: Simplify right side
    8,065x = 149,303,961
  5. Step 5: Solve for x
    x = 149,303,961/8,065
  6. Step 6: Final answer
    x = 18,512.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.