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Finding the Third Proportional to 30,737 and 62,601

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Solution

The third proportional to 30,737 and 62,601 is: 127,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737 : 62,601 = 62,601 : x
  2. Step 2: Convert to fraction form
    30,737/62,601 = 62,601/x
  3. Step 3: Cross multiply
    30,737x = 62,601 × 62,601
  4. Step 4: Simplify right side
    30,737x = 3,918,885,201
  5. Step 5: Solve for x
    x = 3,918,885,201/30,737
  6. Step 6: Final answer
    x = 127,497.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.