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Finding the Third Proportional to 6,299 and 13,853

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Solution

The third proportional to 6,299 and 13,853 is: 30,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299 : 13,853 = 13,853 : x
  2. Step 2: Convert to fraction form
    6,299/13,853 = 13,853/x
  3. Step 3: Cross multiply
    6,299x = 13,853 × 13,853
  4. Step 4: Simplify right side
    6,299x = 191,905,609
  5. Step 5: Solve for x
    x = 191,905,609/6,299
  6. Step 6: Final answer
    x = 30,466.04

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