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Finding the Third Proportional to 3,529.83 and 7,668.84

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Solution

The third proportional to 3,529.83 and 7,668.84 is: 16,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.83 : 7,668.84 = 7,668.84 : x
  2. Step 2: Convert to fraction form
    3,529.83/7,668.84 = 7,668.84/x
  3. Step 3: Cross multiply
    3,529.83x = 7,668.84 × 7,668.84
  4. Step 4: Simplify right side
    3,529.83x = 58,811,164.46
  5. Step 5: Solve for x
    x = 58,811,164.46/3,529.83
  6. Step 6: Final answer
    x = 16,661.20

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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.