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Finding the Third Proportional to 3,234.47 and 6,605.06

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Solution

The third proportional to 3,234.47 and 6,605.06 is: 13,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.47 : 6,605.06 = 6,605.06 : x
  2. Step 2: Convert to fraction form
    3,234.47/6,605.06 = 6,605.06/x
  3. Step 3: Cross multiply
    3,234.47x = 6,605.06 × 6,605.06
  4. Step 4: Simplify right side
    3,234.47x = 43,626,850.63
  5. Step 5: Solve for x
    x = 43,626,850.63/3,234.47
  6. Step 6: Final answer
    x = 13,488.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.