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Finding the Third Proportional to 8,180 and 19,199

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Solution

The third proportional to 8,180 and 19,199 is: 45,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180 : 19,199 = 19,199 : x
  2. Step 2: Convert to fraction form
    8,180/19,199 = 19,199/x
  3. Step 3: Cross multiply
    8,180x = 19,199 × 19,199
  4. Step 4: Simplify right side
    8,180x = 368,601,601
  5. Step 5: Solve for x
    x = 368,601,601/8,180
  6. Step 6: Final answer
    x = 45,061.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.