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Finding the Third Proportional to 30,759.75 and 72,768.38

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Solution

The third proportional to 30,759.75 and 72,768.38 is: 172,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759.75 : 72,768.38 = 72,768.38 : x
  2. Step 2: Convert to fraction form
    30,759.75/72,768.38 = 72,768.38/x
  3. Step 3: Cross multiply
    30,759.75x = 72,768.38 × 72,768.38
  4. Step 4: Simplify right side
    30,759.75x = 5,295,236,400.14
  5. Step 5: Solve for x
    x = 5,295,236,400.14/30,759.75
  6. Step 6: Final answer
    x = 172,148.23

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.