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Finding the Third Proportional to 6,517 and 14,285

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Solution

The third proportional to 6,517 and 14,285 is: 31,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517 : 14,285 = 14,285 : x
  2. Step 2: Convert to fraction form
    6,517/14,285 = 14,285/x
  3. Step 3: Cross multiply
    6,517x = 14,285 × 14,285
  4. Step 4: Simplify right side
    6,517x = 204,061,225
  5. Step 5: Solve for x
    x = 204,061,225/6,517
  6. Step 6: Final answer
    x = 31,312.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.