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Finding the Third Proportional to 28,367 and 62,530

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Solution

The third proportional to 28,367 and 62,530 is: 137,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,367 : 62,530 = 62,530 : x
  2. Step 2: Convert to fraction form
    28,367/62,530 = 62,530/x
  3. Step 3: Cross multiply
    28,367x = 62,530 × 62,530
  4. Step 4: Simplify right side
    28,367x = 3,910,000,900
  5. Step 5: Solve for x
    x = 3,910,000,900/28,367
  6. Step 6: Final answer
    x = 137,836.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.