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Finding the Third Proportional to 7,764.75 and 16,758.94

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Solution

The third proportional to 7,764.75 and 16,758.94 is: 36,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.75 : 16,758.94 = 16,758.94 : x
  2. Step 2: Convert to fraction form
    7,764.75/16,758.94 = 16,758.94/x
  3. Step 3: Cross multiply
    7,764.75x = 16,758.94 × 16,758.94
  4. Step 4: Simplify right side
    7,764.75x = 280,861,986.13
  5. Step 5: Solve for x
    x = 280,861,986.13/7,764.75
  6. Step 6: Final answer
    x = 36,171.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.