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Finding the Third Proportional to 36,048 and 48,219

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Solution

The third proportional to 36,048 and 48,219 is: 64,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,048 : 48,219 = 48,219 : x
  2. Step 2: Convert to fraction form
    36,048/48,219 = 48,219/x
  3. Step 3: Cross multiply
    36,048x = 48,219 × 48,219
  4. Step 4: Simplify right side
    36,048x = 2,325,071,961
  5. Step 5: Solve for x
    x = 2,325,071,961/36,048
  6. Step 6: Final answer
    x = 64,499.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.