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Finding the Third Proportional to 6,016 and 9,416

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Solution

The third proportional to 6,016 and 9,416 is: 14,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016 : 9,416 = 9,416 : x
  2. Step 2: Convert to fraction form
    6,016/9,416 = 9,416/x
  3. Step 3: Cross multiply
    6,016x = 9,416 × 9,416
  4. Step 4: Simplify right side
    6,016x = 88,661,056
  5. Step 5: Solve for x
    x = 88,661,056/6,016
  6. Step 6: Final answer
    x = 14,737.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.