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Finding the Third Proportional to 8,369 and 12,337

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Solution

The third proportional to 8,369 and 12,337 is: 18,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369 : 12,337 = 12,337 : x
  2. Step 2: Convert to fraction form
    8,369/12,337 = 12,337/x
  3. Step 3: Cross multiply
    8,369x = 12,337 × 12,337
  4. Step 4: Simplify right side
    8,369x = 152,201,569
  5. Step 5: Solve for x
    x = 152,201,569/8,369
  6. Step 6: Final answer
    x = 18,186.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.