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Finding the Third Proportional to 6,724 and 14,257

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Solution

The third proportional to 6,724 and 14,257 is: 30,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724 : 14,257 = 14,257 : x
  2. Step 2: Convert to fraction form
    6,724/14,257 = 14,257/x
  3. Step 3: Cross multiply
    6,724x = 14,257 × 14,257
  4. Step 4: Simplify right side
    6,724x = 203,262,049
  5. Step 5: Solve for x
    x = 203,262,049/6,724
  6. Step 6: Final answer
    x = 30,229.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.