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Finding the Third Proportional to 6,680.53 and 14,431.78

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Solution

The third proportional to 6,680.53 and 14,431.78 is: 31,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.53 : 14,431.78 = 14,431.78 : x
  2. Step 2: Convert to fraction form
    6,680.53/14,431.78 = 14,431.78/x
  3. Step 3: Cross multiply
    6,680.53x = 14,431.78 × 14,431.78
  4. Step 4: Simplify right side
    6,680.53x = 208,276,310.05
  5. Step 5: Solve for x
    x = 208,276,310.05/6,680.53
  6. Step 6: Final answer
    x = 31,176.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.