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Finding the Third Proportional to 30,273.75 and 65,738.25

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Solution

The third proportional to 30,273.75 and 65,738.25 is: 142,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,273.75 : 65,738.25 = 65,738.25 : x
  2. Step 2: Convert to fraction form
    30,273.75/65,738.25 = 65,738.25/x
  3. Step 3: Cross multiply
    30,273.75x = 65,738.25 × 65,738.25
  4. Step 4: Simplify right side
    30,273.75x = 4,321,517,513.06
  5. Step 5: Solve for x
    x = 4,321,517,513.06/30,273.75
  6. Step 6: Final answer
    x = 142,748.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.