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Finding the Third Proportional to 6,728.91 and 14,733.56

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Solution

The third proportional to 6,728.91 and 14,733.56 is: 32,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.91 : 14,733.56 = 14,733.56 : x
  2. Step 2: Convert to fraction form
    6,728.91/14,733.56 = 14,733.56/x
  3. Step 3: Cross multiply
    6,728.91x = 14,733.56 × 14,733.56
  4. Step 4: Simplify right side
    6,728.91x = 217,077,863.94
  5. Step 5: Solve for x
    x = 217,077,863.94/6,728.91
  6. Step 6: Final answer
    x = 32,260.50

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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.