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Finding the Third Proportional to 6,174 and 14,094

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Solution

The third proportional to 6,174 and 14,094 is: 32,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 14,094 = 14,094 : x
  2. Step 2: Convert to fraction form
    6,174/14,094 = 14,094/x
  3. Step 3: Cross multiply
    6,174x = 14,094 × 14,094
  4. Step 4: Simplify right side
    6,174x = 198,640,836
  5. Step 5: Solve for x
    x = 198,640,836/6,174
  6. Step 6: Final answer
    x = 32,173.77

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.