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Finding the Third Proportional to 6,297 and 13,863

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Solution

The third proportional to 6,297 and 13,863 is: 30,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297 : 13,863 = 13,863 : x
  2. Step 2: Convert to fraction form
    6,297/13,863 = 13,863/x
  3. Step 3: Cross multiply
    6,297x = 13,863 × 13,863
  4. Step 4: Simplify right side
    6,297x = 192,182,769
  5. Step 5: Solve for x
    x = 192,182,769/6,297
  6. Step 6: Final answer
    x = 30,519.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.