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Finding the Third Proportional to 6,604.50 and 14,439.38

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Solution

The third proportional to 6,604.50 and 14,439.38 is: 31,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.50 : 14,439.38 = 14,439.38 : x
  2. Step 2: Convert to fraction form
    6,604.50/14,439.38 = 14,439.38/x
  3. Step 3: Cross multiply
    6,604.50x = 14,439.38 × 14,439.38
  4. Step 4: Simplify right side
    6,604.50x = 208,495,550.39
  5. Step 5: Solve for x
    x = 208,495,550.39/6,604.50
  6. Step 6: Final answer
    x = 31,568.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.