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Finding the Third Proportional to 18,483 and 38,054

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Solution

The third proportional to 18,483 and 38,054 is: 78,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483 : 38,054 = 38,054 : x
  2. Step 2: Convert to fraction form
    18,483/38,054 = 38,054/x
  3. Step 3: Cross multiply
    18,483x = 38,054 × 38,054
  4. Step 4: Simplify right side
    18,483x = 1,448,106,916
  5. Step 5: Solve for x
    x = 1,448,106,916/18,483
  6. Step 6: Final answer
    x = 78,348.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.