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Finding the Third Proportional to 14,185 and 30,857

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Solution

The third proportional to 14,185 and 30,857 is: 67,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185 : 30,857 = 30,857 : x
  2. Step 2: Convert to fraction form
    14,185/30,857 = 30,857/x
  3. Step 3: Cross multiply
    14,185x = 30,857 × 30,857
  4. Step 4: Simplify right side
    14,185x = 952,154,449
  5. Step 5: Solve for x
    x = 952,154,449/14,185
  6. Step 6: Final answer
    x = 67,124.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.