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Finding the Third Proportional to 3,234.94 and 5,829.47

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Solution

The third proportional to 3,234.94 and 5,829.47 is: 10,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.94 : 5,829.47 = 5,829.47 : x
  2. Step 2: Convert to fraction form
    3,234.94/5,829.47 = 5,829.47/x
  3. Step 3: Cross multiply
    3,234.94x = 5,829.47 × 5,829.47
  4. Step 4: Simplify right side
    3,234.94x = 33,982,705.91
  5. Step 5: Solve for x
    x = 33,982,705.91/3,234.94
  6. Step 6: Final answer
    x = 10,504.90

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.