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Finding the Third Proportional to 6,661.62 and 14,348.39

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Solution

The third proportional to 6,661.62 and 14,348.39 is: 30,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.62 : 14,348.39 = 14,348.39 : x
  2. Step 2: Convert to fraction form
    6,661.62/14,348.39 = 14,348.39/x
  3. Step 3: Cross multiply
    6,661.62x = 14,348.39 × 14,348.39
  4. Step 4: Simplify right side
    6,661.62x = 205,876,313.53
  5. Step 5: Solve for x
    x = 205,876,313.53/6,661.62
  6. Step 6: Final answer
    x = 30,904.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.