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Finding the Third Proportional to 2,668.78 and 4,192.59

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Solution

The third proportional to 2,668.78 and 4,192.59 is: 6,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.78 : 4,192.59 = 4,192.59 : x
  2. Step 2: Convert to fraction form
    2,668.78/4,192.59 = 4,192.59/x
  3. Step 3: Cross multiply
    2,668.78x = 4,192.59 × 4,192.59
  4. Step 4: Simplify right side
    2,668.78x = 17,577,842.35
  5. Step 5: Solve for x
    x = 17,577,842.35/2,668.78
  6. Step 6: Final answer
    x = 6,586.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.