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Finding the Third Proportional to 7,674.75 and 20,037.38

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Solution

The third proportional to 7,674.75 and 20,037.38 is: 52,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 20,037.38 = 20,037.38 : x
  2. Step 2: Convert to fraction form
    7,674.75/20,037.38 = 20,037.38/x
  3. Step 3: Cross multiply
    7,674.75x = 20,037.38 × 20,037.38
  4. Step 4: Simplify right side
    7,674.75x = 401,496,396.89
  5. Step 5: Solve for x
    x = 401,496,396.89/7,674.75
  6. Step 6: Final answer
    x = 52,313.94

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.