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Finding the Third Proportional to 8,384 and 12,431

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Solution

The third proportional to 8,384 and 12,431 is: 18,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384 : 12,431 = 12,431 : x
  2. Step 2: Convert to fraction form
    8,384/12,431 = 12,431/x
  3. Step 3: Cross multiply
    8,384x = 12,431 × 12,431
  4. Step 4: Simplify right side
    8,384x = 154,529,761
  5. Step 5: Solve for x
    x = 154,529,761/8,384
  6. Step 6: Final answer
    x = 18,431.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.