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Finding the Third Proportional to 38,410 and 43,918

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Solution

The third proportional to 38,410 and 43,918 is: 50,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410 : 43,918 = 43,918 : x
  2. Step 2: Convert to fraction form
    38,410/43,918 = 43,918/x
  3. Step 3: Cross multiply
    38,410x = 43,918 × 43,918
  4. Step 4: Simplify right side
    38,410x = 1,928,790,724
  5. Step 5: Solve for x
    x = 1,928,790,724/38,410
  6. Step 6: Final answer
    x = 50,215.85

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.