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Finding the Third Proportional to 38,880 and 52,104

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Solution

The third proportional to 38,880 and 52,104 is: 69,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880 : 52,104 = 52,104 : x
  2. Step 2: Convert to fraction form
    38,880/52,104 = 52,104/x
  3. Step 3: Cross multiply
    38,880x = 52,104 × 52,104
  4. Step 4: Simplify right side
    38,880x = 2,714,826,816
  5. Step 5: Solve for x
    x = 2,714,826,816/38,880
  6. Step 6: Final answer
    x = 69,825.79

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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.