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Finding the Third Proportional to 46,608 and 73,836

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Solution

The third proportional to 46,608 and 73,836 is: 116,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,608 : 73,836 = 73,836 : x
  2. Step 2: Convert to fraction form
    46,608/73,836 = 73,836/x
  3. Step 3: Cross multiply
    46,608x = 73,836 × 73,836
  4. Step 4: Simplify right side
    46,608x = 5,451,754,896
  5. Step 5: Solve for x
    x = 5,451,754,896/46,608
  6. Step 6: Final answer
    x = 116,970.37

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.