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Finding the Third Proportional to 3,234.38 and 4,945.88

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Solution

The third proportional to 3,234.38 and 4,945.88 is: 7,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.38 : 4,945.88 = 4,945.88 : x
  2. Step 2: Convert to fraction form
    3,234.38/4,945.88 = 4,945.88/x
  3. Step 3: Cross multiply
    3,234.38x = 4,945.88 × 4,945.88
  4. Step 4: Simplify right side
    3,234.38x = 24,461,679.52
  5. Step 5: Solve for x
    x = 24,461,679.52/3,234.38
  6. Step 6: Final answer
    x = 7,563.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.