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Finding the Third Proportional to 20,277 and 43,674.75

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Solution

The third proportional to 20,277 and 43,674.75 is: 94,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277 : 43,674.75 = 43,674.75 : x
  2. Step 2: Convert to fraction form
    20,277/43,674.75 = 43,674.75/x
  3. Step 3: Cross multiply
    20,277x = 43,674.75 × 43,674.75
  4. Step 4: Simplify right side
    20,277x = 1,907,483,787.56
  5. Step 5: Solve for x
    x = 1,907,483,787.56/20,277
  6. Step 6: Final answer
    x = 94,071.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.