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Finding the Third Proportional to 30,898 and 67,372

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Solution

The third proportional to 30,898 and 67,372 is: 146,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898 : 67,372 = 67,372 : x
  2. Step 2: Convert to fraction form
    30,898/67,372 = 67,372/x
  3. Step 3: Cross multiply
    30,898x = 67,372 × 67,372
  4. Step 4: Simplify right side
    30,898x = 4,538,986,384
  5. Step 5: Solve for x
    x = 4,538,986,384/30,898
  6. Step 6: Final answer
    x = 146,902.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.