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Finding the Third Proportional to 4,174 and 4,966

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Solution

The third proportional to 4,174 and 4,966 is: 5,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174 : 4,966 = 4,966 : x
  2. Step 2: Convert to fraction form
    4,174/4,966 = 4,966/x
  3. Step 3: Cross multiply
    4,174x = 4,966 × 4,966
  4. Step 4: Simplify right side
    4,174x = 24,661,156
  5. Step 5: Solve for x
    x = 24,661,156/4,174
  6. Step 6: Final answer
    x = 5,908.28

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.