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Finding the Third Proportional to 18,605.50 and 43,912

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Solution

The third proportional to 18,605.50 and 43,912 is: 103,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,605.50 : 43,912 = 43,912 : x
  2. Step 2: Convert to fraction form
    18,605.50/43,912 = 43,912/x
  3. Step 3: Cross multiply
    18,605.50x = 43,912 × 43,912
  4. Step 4: Simplify right side
    18,605.50x = 1,928,263,744
  5. Step 5: Solve for x
    x = 1,928,263,744/18,605.50
  6. Step 6: Final answer
    x = 103,639.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.