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Finding the Third Proportional to 7,664.75 and 16,834.75

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Solution

The third proportional to 7,664.75 and 16,834.75 is: 36,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.75 : 16,834.75 = 16,834.75 : x
  2. Step 2: Convert to fraction form
    7,664.75/16,834.75 = 16,834.75/x
  3. Step 3: Cross multiply
    7,664.75x = 16,834.75 × 16,834.75
  4. Step 4: Simplify right side
    7,664.75x = 283,408,807.56
  5. Step 5: Solve for x
    x = 283,408,807.56/7,664.75
  6. Step 6: Final answer
    x = 36,975.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.