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Finding the Third Proportional to 28,725 and 43,116

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Solution

The third proportional to 28,725 and 43,116 is: 64,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,725 : 43,116 = 43,116 : x
  2. Step 2: Convert to fraction form
    28,725/43,116 = 43,116/x
  3. Step 3: Cross multiply
    28,725x = 43,116 × 43,116
  4. Step 4: Simplify right side
    28,725x = 1,858,989,456
  5. Step 5: Solve for x
    x = 1,858,989,456/28,725
  6. Step 6: Final answer
    x = 64,716.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.