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Finding the Third Proportional to 3,152.67 and 6,664.78

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Solution

The third proportional to 3,152.67 and 6,664.78 is: 14,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.67 : 6,664.78 = 6,664.78 : x
  2. Step 2: Convert to fraction form
    3,152.67/6,664.78 = 6,664.78/x
  3. Step 3: Cross multiply
    3,152.67x = 6,664.78 × 6,664.78
  4. Step 4: Simplify right side
    3,152.67x = 44,419,309.11
  5. Step 5: Solve for x
    x = 44,419,309.11/3,152.67
  6. Step 6: Final answer
    x = 14,089.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.