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Finding the Third Proportional to 6,016 and 6,916

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Solution

The third proportional to 6,016 and 6,916 is: 7,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016 : 6,916 = 6,916 : x
  2. Step 2: Convert to fraction form
    6,016/6,916 = 6,916/x
  3. Step 3: Cross multiply
    6,016x = 6,916 × 6,916
  4. Step 4: Simplify right side
    6,016x = 47,831,056
  5. Step 5: Solve for x
    x = 47,831,056/6,016
  6. Step 6: Final answer
    x = 7,950.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.