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Finding the Third Proportional to 4,104.42 and 5,849.09

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Solution

The third proportional to 4,104.42 and 5,849.09 is: 8,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.42 : 5,849.09 = 5,849.09 : x
  2. Step 2: Convert to fraction form
    4,104.42/5,849.09 = 5,849.09/x
  3. Step 3: Cross multiply
    4,104.42x = 5,849.09 × 5,849.09
  4. Step 4: Simplify right side
    4,104.42x = 34,211,806.30
  5. Step 5: Solve for x
    x = 34,211,806.30/4,104.42
  6. Step 6: Final answer
    x = 8,335.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.