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Finding the Third Proportional to 6,102 and 8,158

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Solution

The third proportional to 6,102 and 8,158 is: 10,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 8,158 = 8,158 : x
  2. Step 2: Convert to fraction form
    6,102/8,158 = 8,158/x
  3. Step 3: Cross multiply
    6,102x = 8,158 × 8,158
  4. Step 4: Simplify right side
    6,102x = 66,552,964
  5. Step 5: Solve for x
    x = 66,552,964/6,102
  6. Step 6: Final answer
    x = 10,906.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.