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Finding the Third Proportional to 766.13 and 1,668.94

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Solution

The third proportional to 766.13 and 1,668.94 is: 3,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 1,668.94 = 1,668.94 : x
  2. Step 2: Convert to fraction form
    766.13/1,668.94 = 1,668.94/x
  3. Step 3: Cross multiply
    766.13x = 1,668.94 × 1,668.94
  4. Step 4: Simplify right side
    766.13x = 2,785,352.38
  5. Step 5: Solve for x
    x = 2,785,352.38/766.13
  6. Step 6: Final answer
    x = 3,635.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.