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Finding the Third Proportional to 6,160 and 8,195

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Solution

The third proportional to 6,160 and 8,195 is: 10,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160 : 8,195 = 8,195 : x
  2. Step 2: Convert to fraction form
    6,160/8,195 = 8,195/x
  3. Step 3: Cross multiply
    6,160x = 8,195 × 8,195
  4. Step 4: Simplify right side
    6,160x = 67,158,025
  5. Step 5: Solve for x
    x = 67,158,025/6,160
  6. Step 6: Final answer
    x = 10,902.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.