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Finding the Third Proportional to 27,147 and 56,022

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Solution

The third proportional to 27,147 and 56,022 is: 115,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147 : 56,022 = 56,022 : x
  2. Step 2: Convert to fraction form
    27,147/56,022 = 56,022/x
  3. Step 3: Cross multiply
    27,147x = 56,022 × 56,022
  4. Step 4: Simplify right side
    27,147x = 3,138,464,484
  5. Step 5: Solve for x
    x = 3,138,464,484/27,147
  6. Step 6: Final answer
    x = 115,609.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.