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Finding the Third Proportional to 16,982 and 37,347

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Solution

The third proportional to 16,982 and 37,347 is: 82,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982 : 37,347 = 37,347 : x
  2. Step 2: Convert to fraction form
    16,982/37,347 = 37,347/x
  3. Step 3: Cross multiply
    16,982x = 37,347 × 37,347
  4. Step 4: Simplify right side
    16,982x = 1,394,798,409
  5. Step 5: Solve for x
    x = 1,394,798,409/16,982
  6. Step 6: Final answer
    x = 82,133.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.