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Finding the Third Proportional to 28,228 and 43,314

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Solution

The third proportional to 28,228 and 43,314 is: 66,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,228 : 43,314 = 43,314 : x
  2. Step 2: Convert to fraction form
    28,228/43,314 = 43,314/x
  3. Step 3: Cross multiply
    28,228x = 43,314 × 43,314
  4. Step 4: Simplify right side
    28,228x = 1,876,102,596
  5. Step 5: Solve for x
    x = 1,876,102,596/28,228
  6. Step 6: Final answer
    x = 66,462.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.