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Finding the Third Proportional to 6,872.82 and 14,997.18

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Solution

The third proportional to 6,872.82 and 14,997.18 is: 32,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.82 : 14,997.18 = 14,997.18 : x
  2. Step 2: Convert to fraction form
    6,872.82/14,997.18 = 14,997.18/x
  3. Step 3: Cross multiply
    6,872.82x = 14,997.18 × 14,997.18
  4. Step 4: Simplify right side
    6,872.82x = 224,915,457.16
  5. Step 5: Solve for x
    x = 224,915,457.16/6,872.82
  6. Step 6: Final answer
    x = 32,725.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.