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Finding the Third Proportional to 18,000 and 25,875

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Solution

The third proportional to 18,000 and 25,875 is: 37,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000 : 25,875 = 25,875 : x
  2. Step 2: Convert to fraction form
    18,000/25,875 = 25,875/x
  3. Step 3: Cross multiply
    18,000x = 25,875 × 25,875
  4. Step 4: Simplify right side
    18,000x = 669,515,625
  5. Step 5: Solve for x
    x = 669,515,625/18,000
  6. Step 6: Final answer
    x = 37,195.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.