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Finding the Third Proportional to 18,629 and 43,935

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Solution

The third proportional to 18,629 and 43,935 is: 103,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,629 : 43,935 = 43,935 : x
  2. Step 2: Convert to fraction form
    18,629/43,935 = 43,935/x
  3. Step 3: Cross multiply
    18,629x = 43,935 × 43,935
  4. Step 4: Simplify right side
    18,629x = 1,930,284,225
  5. Step 5: Solve for x
    x = 1,930,284,225/18,629
  6. Step 6: Final answer
    x = 103,617.17

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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.