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Finding the Third Proportional to 25,104 and 38,400

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Solution

The third proportional to 25,104 and 38,400 is: 58,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,104 : 38,400 = 38,400 : x
  2. Step 2: Convert to fraction form
    25,104/38,400 = 38,400/x
  3. Step 3: Cross multiply
    25,104x = 38,400 × 38,400
  4. Step 4: Simplify right side
    25,104x = 1,474,560,000
  5. Step 5: Solve for x
    x = 1,474,560,000/25,104
  6. Step 6: Final answer
    x = 58,738.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.