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Finding the Third Proportional to 30,512.72 and 65,960.48

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Solution

The third proportional to 30,512.72 and 65,960.48 is: 142,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.72 : 65,960.48 = 65,960.48 : x
  2. Step 2: Convert to fraction form
    30,512.72/65,960.48 = 65,960.48/x
  3. Step 3: Cross multiply
    30,512.72x = 65,960.48 × 65,960.48
  4. Step 4: Simplify right side
    30,512.72x = 4,350,785,498.98
  5. Step 5: Solve for x
    x = 4,350,785,498.98/30,512.72
  6. Step 6: Final answer
    x = 142,589.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.