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Finding the Third Proportional to 14,200 and 29,314

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Solution

The third proportional to 14,200 and 29,314 is: 60,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200 : 29,314 = 29,314 : x
  2. Step 2: Convert to fraction form
    14,200/29,314 = 29,314/x
  3. Step 3: Cross multiply
    14,200x = 29,314 × 29,314
  4. Step 4: Simplify right side
    14,200x = 859,310,596
  5. Step 5: Solve for x
    x = 859,310,596/14,200
  6. Step 6: Final answer
    x = 60,514.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.