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Finding the Third Proportional to 8,126 and 19,583

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Solution

The third proportional to 8,126 and 19,583 is: 47,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126 : 19,583 = 19,583 : x
  2. Step 2: Convert to fraction form
    8,126/19,583 = 19,583/x
  3. Step 3: Cross multiply
    8,126x = 19,583 × 19,583
  4. Step 4: Simplify right side
    8,126x = 383,493,889
  5. Step 5: Solve for x
    x = 383,493,889/8,126
  6. Step 6: Final answer
    x = 47,193.44

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.