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Finding the Third Proportional to 8,863 and 19,337

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Solution

The third proportional to 8,863 and 19,337 is: 42,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863 : 19,337 = 19,337 : x
  2. Step 2: Convert to fraction form
    8,863/19,337 = 19,337/x
  3. Step 3: Cross multiply
    8,863x = 19,337 × 19,337
  4. Step 4: Simplify right side
    8,863x = 373,919,569
  5. Step 5: Solve for x
    x = 373,919,569/8,863
  6. Step 6: Final answer
    x = 42,188.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.