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Finding the Third Proportional to 1,668.94 and 4,025.53

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Solution

The third proportional to 1,668.94 and 4,025.53 is: 9,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.94 : 4,025.53 = 4,025.53 : x
  2. Step 2: Convert to fraction form
    1,668.94/4,025.53 = 4,025.53/x
  3. Step 3: Cross multiply
    1,668.94x = 4,025.53 × 4,025.53
  4. Step 4: Simplify right side
    1,668.94x = 16,204,901.84
  5. Step 5: Solve for x
    x = 16,204,901.84/1,668.94
  6. Step 6: Final answer
    x = 9,709.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.