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Finding the Third Proportional to 18,757 and 44,278

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Solution

The third proportional to 18,757 and 44,278 is: 104,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,757 : 44,278 = 44,278 : x
  2. Step 2: Convert to fraction form
    18,757/44,278 = 44,278/x
  3. Step 3: Cross multiply
    18,757x = 44,278 × 44,278
  4. Step 4: Simplify right side
    18,757x = 1,960,541,284
  5. Step 5: Solve for x
    x = 1,960,541,284/18,757
  6. Step 6: Final answer
    x = 104,523.18

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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.