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Finding the Third Proportional to 36,015 and 48,485

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Solution

The third proportional to 36,015 and 48,485 is: 65,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,015 : 48,485 = 48,485 : x
  2. Step 2: Convert to fraction form
    36,015/48,485 = 48,485/x
  3. Step 3: Cross multiply
    36,015x = 48,485 × 48,485
  4. Step 4: Simplify right side
    36,015x = 2,350,795,225
  5. Step 5: Solve for x
    x = 2,350,795,225/36,015
  6. Step 6: Final answer
    x = 65,272.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.