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Finding the Third Proportional to 13,856 and 30,016

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Solution

The third proportional to 13,856 and 30,016 is: 65,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 30,016 = 30,016 : x
  2. Step 2: Convert to fraction form
    13,856/30,016 = 30,016/x
  3. Step 3: Cross multiply
    13,856x = 30,016 × 30,016
  4. Step 4: Simplify right side
    13,856x = 900,960,256
  5. Step 5: Solve for x
    x = 900,960,256/13,856
  6. Step 6: Final answer
    x = 65,023.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.