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Finding the Third Proportional to 30,267.75 and 59,759.25

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Solution

The third proportional to 30,267.75 and 59,759.25 is: 117,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.75 : 59,759.25 = 59,759.25 : x
  2. Step 2: Convert to fraction form
    30,267.75/59,759.25 = 59,759.25/x
  3. Step 3: Cross multiply
    30,267.75x = 59,759.25 × 59,759.25
  4. Step 4: Simplify right side
    30,267.75x = 3,571,167,960.56
  5. Step 5: Solve for x
    x = 3,571,167,960.56/30,267.75
  6. Step 6: Final answer
    x = 117,985.91

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.