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Finding the Third Proportional to 774.88 and 1,668.63

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Solution

The third proportional to 774.88 and 1,668.63 is: 3,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.88 : 1,668.63 = 1,668.63 : x
  2. Step 2: Convert to fraction form
    774.88/1,668.63 = 1,668.63/x
  3. Step 3: Cross multiply
    774.88x = 1,668.63 × 1,668.63
  4. Step 4: Simplify right side
    774.88x = 2,784,309.39
  5. Step 5: Solve for x
    x = 2,784,309.39/774.88
  6. Step 6: Final answer
    x = 3,593.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.