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Finding the Third Proportional to 28,608.75 and 37,827

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Solution

The third proportional to 28,608.75 and 37,827 is: 50,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,608.75 : 37,827 = 37,827 : x
  2. Step 2: Convert to fraction form
    28,608.75/37,827 = 37,827/x
  3. Step 3: Cross multiply
    28,608.75x = 37,827 × 37,827
  4. Step 4: Simplify right side
    28,608.75x = 1,430,881,929
  5. Step 5: Solve for x
    x = 1,430,881,929/28,608.75
  6. Step 6: Final answer
    x = 50,015.53

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.