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Finding the Third Proportional to 6,016 and 13,829

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Solution

The third proportional to 6,016 and 13,829 is: 31,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016 : 13,829 = 13,829 : x
  2. Step 2: Convert to fraction form
    6,016/13,829 = 13,829/x
  3. Step 3: Cross multiply
    6,016x = 13,829 × 13,829
  4. Step 4: Simplify right side
    6,016x = 191,241,241
  5. Step 5: Solve for x
    x = 191,241,241/6,016
  6. Step 6: Final answer
    x = 31,788.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.