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Finding the Third Proportional to 3,606 and 8,727.75

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Solution

The third proportional to 3,606 and 8,727.75 is: 21,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606 : 8,727.75 = 8,727.75 : x
  2. Step 2: Convert to fraction form
    3,606/8,727.75 = 8,727.75/x
  3. Step 3: Cross multiply
    3,606x = 8,727.75 × 8,727.75
  4. Step 4: Simplify right side
    3,606x = 76,173,620.06
  5. Step 5: Solve for x
    x = 76,173,620.06/3,606
  6. Step 6: Final answer
    x = 21,124.13

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.