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Finding the Third Proportional to 9,812 and 18,640

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Solution

The third proportional to 9,812 and 18,640 is: 35,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812 : 18,640 = 18,640 : x
  2. Step 2: Convert to fraction form
    9,812/18,640 = 18,640/x
  3. Step 3: Cross multiply
    9,812x = 18,640 × 18,640
  4. Step 4: Simplify right side
    9,812x = 347,449,600
  5. Step 5: Solve for x
    x = 347,449,600/9,812
  6. Step 6: Final answer
    x = 35,410.68

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.