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Finding the Third Proportional to 46,474 and 73,864

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Solution

The third proportional to 46,474 and 73,864 is: 117,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,474 : 73,864 = 73,864 : x
  2. Step 2: Convert to fraction form
    46,474/73,864 = 73,864/x
  3. Step 3: Cross multiply
    46,474x = 73,864 × 73,864
  4. Step 4: Simplify right side
    46,474x = 5,455,890,496
  5. Step 5: Solve for x
    x = 5,455,890,496/46,474
  6. Step 6: Final answer
    x = 117,396.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.