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Finding the Third Proportional to 44,636 and 69,116

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Solution

The third proportional to 44,636 and 69,116 is: 107,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,636 : 69,116 = 69,116 : x
  2. Step 2: Convert to fraction form
    44,636/69,116 = 69,116/x
  3. Step 3: Cross multiply
    44,636x = 69,116 × 69,116
  4. Step 4: Simplify right side
    44,636x = 4,777,021,456
  5. Step 5: Solve for x
    x = 4,777,021,456/44,636
  6. Step 6: Final answer
    x = 107,021.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.