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Finding the Third Proportional to 6,586 and 10,195

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Solution

The third proportional to 6,586 and 10,195 is: 15,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586 : 10,195 = 10,195 : x
  2. Step 2: Convert to fraction form
    6,586/10,195 = 10,195/x
  3. Step 3: Cross multiply
    6,586x = 10,195 × 10,195
  4. Step 4: Simplify right side
    6,586x = 103,938,025
  5. Step 5: Solve for x
    x = 103,938,025/6,586
  6. Step 6: Final answer
    x = 15,781.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.