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Finding the Third Proportional to 4,849.03 and 10,794.94

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Solution

The third proportional to 4,849.03 and 10,794.94 is: 24,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.03 : 10,794.94 = 10,794.94 : x
  2. Step 2: Convert to fraction form
    4,849.03/10,794.94 = 10,794.94/x
  3. Step 3: Cross multiply
    4,849.03x = 10,794.94 × 10,794.94
  4. Step 4: Simplify right side
    4,849.03x = 116,530,675.63
  5. Step 5: Solve for x
    x = 116,530,675.63/4,849.03
  6. Step 6: Final answer
    x = 24,031.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.