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Finding the Third Proportional to 28,460 and 68,936

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Solution

The third proportional to 28,460 and 68,936 is: 166,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460 : 68,936 = 68,936 : x
  2. Step 2: Convert to fraction form
    28,460/68,936 = 68,936/x
  3. Step 3: Cross multiply
    28,460x = 68,936 × 68,936
  4. Step 4: Simplify right side
    28,460x = 4,752,172,096
  5. Step 5: Solve for x
    x = 4,752,172,096/28,460
  6. Step 6: Final answer
    x = 166,977.23

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.