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Finding the Third Proportional to 1,304.34 and 2,668.69

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Solution

The third proportional to 1,304.34 and 2,668.69 is: 5,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.34 : 2,668.69 = 2,668.69 : x
  2. Step 2: Convert to fraction form
    1,304.34/2,668.69 = 2,668.69/x
  3. Step 3: Cross multiply
    1,304.34x = 2,668.69 × 2,668.69
  4. Step 4: Simplify right side
    1,304.34x = 7,121,892.97
  5. Step 5: Solve for x
    x = 7,121,892.97/1,304.34
  6. Step 6: Final answer
    x = 5,460.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.