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Finding the Third Proportional to 8,024 and 12,349

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Solution

The third proportional to 8,024 and 12,349 is: 19,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 12,349 = 12,349 : x
  2. Step 2: Convert to fraction form
    8,024/12,349 = 12,349/x
  3. Step 3: Cross multiply
    8,024x = 12,349 × 12,349
  4. Step 4: Simplify right side
    8,024x = 152,497,801
  5. Step 5: Solve for x
    x = 152,497,801/8,024
  6. Step 6: Final answer
    x = 19,005.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.