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Finding the Third Proportional to 18,608 and 43,892

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Solution

The third proportional to 18,608 and 43,892 is: 103,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,608 : 43,892 = 43,892 : x
  2. Step 2: Convert to fraction form
    18,608/43,892 = 43,892/x
  3. Step 3: Cross multiply
    18,608x = 43,892 × 43,892
  4. Step 4: Simplify right side
    18,608x = 1,926,507,664
  5. Step 5: Solve for x
    x = 1,926,507,664/18,608
  6. Step 6: Final answer
    x = 103,531.15

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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.