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Finding the Third Proportional to 8,872 and 19,096

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Solution

The third proportional to 8,872 and 19,096 is: 41,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872 : 19,096 = 19,096 : x
  2. Step 2: Convert to fraction form
    8,872/19,096 = 19,096/x
  3. Step 3: Cross multiply
    8,872x = 19,096 × 19,096
  4. Step 4: Simplify right side
    8,872x = 364,657,216
  5. Step 5: Solve for x
    x = 364,657,216/8,872
  6. Step 6: Final answer
    x = 41,102.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.