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Finding the Third Proportional to 46,696 and 71,012

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Solution

The third proportional to 46,696 and 71,012 is: 107,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,696 : 71,012 = 71,012 : x
  2. Step 2: Convert to fraction form
    46,696/71,012 = 71,012/x
  3. Step 3: Cross multiply
    46,696x = 71,012 × 71,012
  4. Step 4: Simplify right side
    46,696x = 5,042,704,144
  5. Step 5: Solve for x
    x = 5,042,704,144/46,696
  6. Step 6: Final answer
    x = 107,990.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.