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Finding the Third Proportional to 738.84 and 1,668.09

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Solution

The third proportional to 738.84 and 1,668.09 is: 3,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.84 : 1,668.09 = 1,668.09 : x
  2. Step 2: Convert to fraction form
    738.84/1,668.09 = 1,668.09/x
  3. Step 3: Cross multiply
    738.84x = 1,668.09 × 1,668.09
  4. Step 4: Simplify right side
    738.84x = 2,782,536.76
  5. Step 5: Solve for x
    x = 2,782,536.76/738.84
  6. Step 6: Final answer
    x = 3,766.07

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.