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Finding the Third Proportional to 3,178 and 5,672

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Solution

The third proportional to 3,178 and 5,672 is: 10,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178 : 5,672 = 5,672 : x
  2. Step 2: Convert to fraction form
    3,178/5,672 = 5,672/x
  3. Step 3: Cross multiply
    3,178x = 5,672 × 5,672
  4. Step 4: Simplify right side
    3,178x = 32,171,584
  5. Step 5: Solve for x
    x = 32,171,584/3,178
  6. Step 6: Final answer
    x = 10,123.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.