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Finding the Third Proportional to 6,016 and 8,236

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Solution

The third proportional to 6,016 and 8,236 is: 11,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016 : 8,236 = 8,236 : x
  2. Step 2: Convert to fraction form
    6,016/8,236 = 8,236/x
  3. Step 3: Cross multiply
    6,016x = 8,236 × 8,236
  4. Step 4: Simplify right side
    6,016x = 67,831,696
  5. Step 5: Solve for x
    x = 67,831,696/6,016
  6. Step 6: Final answer
    x = 11,275.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.