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Finding the Third Proportional to 3,234.94 and 7,899.40

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Solution

The third proportional to 3,234.94 and 7,899.40 is: 19,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.94 : 7,899.40 = 7,899.40 : x
  2. Step 2: Convert to fraction form
    3,234.94/7,899.40 = 7,899.40/x
  3. Step 3: Cross multiply
    3,234.94x = 7,899.40 × 7,899.40
  4. Step 4: Simplify right side
    3,234.94x = 62,400,495.67
  5. Step 5: Solve for x
    x = 62,400,495.67/3,234.94
  6. Step 6: Final answer
    x = 19,289.55

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.