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Finding the Third Proportional to 34,057.97 and 51,098.34

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Solution

The third proportional to 34,057.97 and 51,098.34 is: 76,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.97 : 51,098.34 = 51,098.34 : x
  2. Step 2: Convert to fraction form
    34,057.97/51,098.34 = 51,098.34/x
  3. Step 3: Cross multiply
    34,057.97x = 51,098.34 × 51,098.34
  4. Step 4: Simplify right side
    34,057.97x = 2,611,040,733.99
  5. Step 5: Solve for x
    x = 2,611,040,733.99/34,057.97
  6. Step 6: Final answer
    x = 76,664.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.