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Finding the Third Proportional to 16,227.56 and 34,095.09

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Solution

The third proportional to 16,227.56 and 34,095.09 is: 71,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.56 : 34,095.09 = 34,095.09 : x
  2. Step 2: Convert to fraction form
    16,227.56/34,095.09 = 34,095.09/x
  3. Step 3: Cross multiply
    16,227.56x = 34,095.09 × 34,095.09
  4. Step 4: Simplify right side
    16,227.56x = 1,162,475,417.82
  5. Step 5: Solve for x
    x = 1,162,475,417.82/16,227.56
  6. Step 6: Final answer
    x = 71,635.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.