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Finding the Third Proportional to 5,924.25 and 12,668.63

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Solution

The third proportional to 5,924.25 and 12,668.63 is: 27,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.25 : 12,668.63 = 12,668.63 : x
  2. Step 2: Convert to fraction form
    5,924.25/12,668.63 = 12,668.63/x
  3. Step 3: Cross multiply
    5,924.25x = 12,668.63 × 12,668.63
  4. Step 4: Simplify right side
    5,924.25x = 160,494,059.39
  5. Step 5: Solve for x
    x = 160,494,059.39/5,924.25
  6. Step 6: Final answer
    x = 27,091.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.