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Finding the Third Proportional to 5,823 and 12,186

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Solution

The third proportional to 5,823 and 12,186 is: 25,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 12,186 = 12,186 : x
  2. Step 2: Convert to fraction form
    5,823/12,186 = 12,186/x
  3. Step 3: Cross multiply
    5,823x = 12,186 × 12,186
  4. Step 4: Simplify right side
    5,823x = 148,498,596
  5. Step 5: Solve for x
    x = 148,498,596/5,823
  6. Step 6: Final answer
    x = 25,502.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.