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Finding the Third Proportional to 10,864 and 14,512

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Solution

The third proportional to 10,864 and 14,512 is: 19,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864 : 14,512 = 14,512 : x
  2. Step 2: Convert to fraction form
    10,864/14,512 = 14,512/x
  3. Step 3: Cross multiply
    10,864x = 14,512 × 14,512
  4. Step 4: Simplify right side
    10,864x = 210,598,144
  5. Step 5: Solve for x
    x = 210,598,144/10,864
  6. Step 6: Final answer
    x = 19,384.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.