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Finding the Third Proportional to 17,098 and 37,562

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Solution

The third proportional to 17,098 and 37,562 is: 82,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098 : 37,562 = 37,562 : x
  2. Step 2: Convert to fraction form
    17,098/37,562 = 37,562/x
  3. Step 3: Cross multiply
    17,098x = 37,562 × 37,562
  4. Step 4: Simplify right side
    17,098x = 1,410,903,844
  5. Step 5: Solve for x
    x = 1,410,903,844/17,098
  6. Step 6: Final answer
    x = 82,518.65

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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.