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Finding the Third Proportional to 37,898 and 82,433

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Solution

The third proportional to 37,898 and 82,433 is: 179,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,898 : 82,433 = 82,433 : x
  2. Step 2: Convert to fraction form
    37,898/82,433 = 82,433/x
  3. Step 3: Cross multiply
    37,898x = 82,433 × 82,433
  4. Step 4: Simplify right side
    37,898x = 6,795,199,489
  5. Step 5: Solve for x
    x = 6,795,199,489/37,898
  6. Step 6: Final answer
    x = 179,302.32

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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.