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Finding the Third Proportional to 5,686 and 12,306

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Solution

The third proportional to 5,686 and 12,306 is: 26,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686 : 12,306 = 12,306 : x
  2. Step 2: Convert to fraction form
    5,686/12,306 = 12,306/x
  3. Step 3: Cross multiply
    5,686x = 12,306 × 12,306
  4. Step 4: Simplify right side
    5,686x = 151,437,636
  5. Step 5: Solve for x
    x = 151,437,636/5,686
  6. Step 6: Final answer
    x = 26,633.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.