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Finding the Third Proportional to 19,435 and 43,912

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Solution

The third proportional to 19,435 and 43,912 is: 99,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,435 : 43,912 = 43,912 : x
  2. Step 2: Convert to fraction form
    19,435/43,912 = 43,912/x
  3. Step 3: Cross multiply
    19,435x = 43,912 × 43,912
  4. Step 4: Simplify right side
    19,435x = 1,928,263,744
  5. Step 5: Solve for x
    x = 1,928,263,744/19,435
  6. Step 6: Final answer
    x = 99,216.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.