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Finding the Third Proportional to 27,174 and 56,094

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Solution

The third proportional to 27,174 and 56,094 is: 115,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174 : 56,094 = 56,094 : x
  2. Step 2: Convert to fraction form
    27,174/56,094 = 56,094/x
  3. Step 3: Cross multiply
    27,174x = 56,094 × 56,094
  4. Step 4: Simplify right side
    27,174x = 3,146,536,836
  5. Step 5: Solve for x
    x = 3,146,536,836/27,174
  6. Step 6: Final answer
    x = 115,792.19

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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.