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Finding the Third Proportional to 46,912.50 and 95,736

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Solution

The third proportional to 46,912.50 and 95,736 is: 195,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,912.50 : 95,736 = 95,736 : x
  2. Step 2: Convert to fraction form
    46,912.50/95,736 = 95,736/x
  3. Step 3: Cross multiply
    46,912.50x = 95,736 × 95,736
  4. Step 4: Simplify right side
    46,912.50x = 9,165,381,696
  5. Step 5: Solve for x
    x = 9,165,381,696/46,912.50
  6. Step 6: Final answer
    x = 195,371.85

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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.