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Finding the Third Proportional to 18,301 and 39,949

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Solution

The third proportional to 18,301 and 39,949 is: 87,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,301 : 39,949 = 39,949 : x
  2. Step 2: Convert to fraction form
    18,301/39,949 = 39,949/x
  3. Step 3: Cross multiply
    18,301x = 39,949 × 39,949
  4. Step 4: Simplify right side
    18,301x = 1,595,922,601
  5. Step 5: Solve for x
    x = 1,595,922,601/18,301
  6. Step 6: Final answer
    x = 87,204.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.