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Finding the Third Proportional to 6,612.26 and 14,262.49

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Solution

The third proportional to 6,612.26 and 14,262.49 is: 30,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612.26 : 14,262.49 = 14,262.49 : x
  2. Step 2: Convert to fraction form
    6,612.26/14,262.49 = 14,262.49/x
  3. Step 3: Cross multiply
    6,612.26x = 14,262.49 × 14,262.49
  4. Step 4: Simplify right side
    6,612.26x = 203,418,516.26
  5. Step 5: Solve for x
    x = 203,418,516.26/6,612.26
  6. Step 6: Final answer
    x = 30,763.85

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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.