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Finding the Third Proportional to 6,166 and 11,396

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Solution

The third proportional to 6,166 and 11,396 is: 21,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166 : 11,396 = 11,396 : x
  2. Step 2: Convert to fraction form
    6,166/11,396 = 11,396/x
  3. Step 3: Cross multiply
    6,166x = 11,396 × 11,396
  4. Step 4: Simplify right side
    6,166x = 129,868,816
  5. Step 5: Solve for x
    x = 129,868,816/6,166
  6. Step 6: Final answer
    x = 21,062.08

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.