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Finding the Third Proportional to 7,674.75 and 16,044.75

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Solution

The third proportional to 7,674.75 and 16,044.75 is: 33,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 16,044.75 = 16,044.75 : x
  2. Step 2: Convert to fraction form
    7,674.75/16,044.75 = 16,044.75/x
  3. Step 3: Cross multiply
    7,674.75x = 16,044.75 × 16,044.75
  4. Step 4: Simplify right side
    7,674.75x = 257,434,002.56
  5. Step 5: Solve for x
    x = 257,434,002.56/7,674.75
  6. Step 6: Final answer
    x = 33,542.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.