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Finding the Third Proportional to 20,674 and 30,965

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Solution

The third proportional to 20,674 and 30,965 is: 46,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674 : 30,965 = 30,965 : x
  2. Step 2: Convert to fraction form
    20,674/30,965 = 30,965/x
  3. Step 3: Cross multiply
    20,674x = 30,965 × 30,965
  4. Step 4: Simplify right side
    20,674x = 958,831,225
  5. Step 5: Solve for x
    x = 958,831,225/20,674
  6. Step 6: Final answer
    x = 46,378.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.