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Finding the Third Proportional to 11,400 and 25,000

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Solution

The third proportional to 11,400 and 25,000 is: 54,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400 : 25,000 = 25,000 : x
  2. Step 2: Convert to fraction form
    11,400/25,000 = 25,000/x
  3. Step 3: Cross multiply
    11,400x = 25,000 × 25,000
  4. Step 4: Simplify right side
    11,400x = 625,000,000
  5. Step 5: Solve for x
    x = 625,000,000/11,400
  6. Step 6: Final answer
    x = 54,824.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.