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Finding the Third Proportional to 4,234.50 and 7,009.88

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Solution

The third proportional to 4,234.50 and 7,009.88 is: 11,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.50 : 7,009.88 = 7,009.88 : x
  2. Step 2: Convert to fraction form
    4,234.50/7,009.88 = 7,009.88/x
  3. Step 3: Cross multiply
    4,234.50x = 7,009.88 × 7,009.88
  4. Step 4: Simplify right side
    4,234.50x = 49,138,347.52
  5. Step 5: Solve for x
    x = 49,138,347.52/4,234.50
  6. Step 6: Final answer
    x = 11,604.29

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.