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Finding the Third Proportional to 8,286.56 and 18,014.06

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Solution

The third proportional to 8,286.56 and 18,014.06 is: 39,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.56 : 18,014.06 = 18,014.06 : x
  2. Step 2: Convert to fraction form
    8,286.56/18,014.06 = 18,014.06/x
  3. Step 3: Cross multiply
    8,286.56x = 18,014.06 × 18,014.06
  4. Step 4: Simplify right side
    8,286.56x = 324,506,447.75
  5. Step 5: Solve for x
    x = 324,506,447.75/8,286.56
  6. Step 6: Final answer
    x = 39,160.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.