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Finding the Third Proportional to 28,097 and 60,427

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Solution

The third proportional to 28,097 and 60,427 is: 129,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097 : 60,427 = 60,427 : x
  2. Step 2: Convert to fraction form
    28,097/60,427 = 60,427/x
  3. Step 3: Cross multiply
    28,097x = 60,427 × 60,427
  4. Step 4: Simplify right side
    28,097x = 3,651,422,329
  5. Step 5: Solve for x
    x = 3,651,422,329/28,097
  6. Step 6: Final answer
    x = 129,957.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.