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Finding the Third Proportional to 3,178 and 4,962

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Solution

The third proportional to 3,178 and 4,962 is: 7,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178 : 4,962 = 4,962 : x
  2. Step 2: Convert to fraction form
    3,178/4,962 = 4,962/x
  3. Step 3: Cross multiply
    3,178x = 4,962 × 4,962
  4. Step 4: Simplify right side
    3,178x = 24,621,444
  5. Step 5: Solve for x
    x = 24,621,444/3,178
  6. Step 6: Final answer
    x = 7,747.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.