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Finding the Third Proportional to 46,794 and 95,472

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Solution

The third proportional to 46,794 and 95,472 is: 194,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,794 : 95,472 = 95,472 : x
  2. Step 2: Convert to fraction form
    46,794/95,472 = 95,472/x
  3. Step 3: Cross multiply
    46,794x = 95,472 × 95,472
  4. Step 4: Simplify right side
    46,794x = 9,114,902,784
  5. Step 5: Solve for x
    x = 9,114,902,784/46,794
  6. Step 6: Final answer
    x = 194,787.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.