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Finding the Third Proportional to 13,714 and 28,400

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Solution

The third proportional to 13,714 and 28,400 is: 58,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714 : 28,400 = 28,400 : x
  2. Step 2: Convert to fraction form
    13,714/28,400 = 28,400/x
  3. Step 3: Cross multiply
    13,714x = 28,400 × 28,400
  4. Step 4: Simplify right side
    13,714x = 806,560,000
  5. Step 5: Solve for x
    x = 806,560,000/13,714
  6. Step 6: Final answer
    x = 58,812.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.