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Finding the Third Proportional to 8,524.97 and 18,507.94

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Solution

The third proportional to 8,524.97 and 18,507.94 is: 40,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.97 : 18,507.94 = 18,507.94 : x
  2. Step 2: Convert to fraction form
    8,524.97/18,507.94 = 18,507.94/x
  3. Step 3: Cross multiply
    8,524.97x = 18,507.94 × 18,507.94
  4. Step 4: Simplify right side
    8,524.97x = 342,543,750.50
  5. Step 5: Solve for x
    x = 342,543,750.50/8,524.97
  6. Step 6: Final answer
    x = 40,181.23

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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.