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Finding the Third Proportional to 14,054 and 28,512

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Solution

The third proportional to 14,054 and 28,512 is: 57,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054 : 28,512 = 28,512 : x
  2. Step 2: Convert to fraction form
    14,054/28,512 = 28,512/x
  3. Step 3: Cross multiply
    14,054x = 28,512 × 28,512
  4. Step 4: Simplify right side
    14,054x = 812,934,144
  5. Step 5: Solve for x
    x = 812,934,144/14,054
  6. Step 6: Final answer
    x = 57,843.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.