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Finding the Third Proportional to 18,012 and 37,851

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Solution

The third proportional to 18,012 and 37,851 is: 79,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,012 : 37,851 = 37,851 : x
  2. Step 2: Convert to fraction form
    18,012/37,851 = 37,851/x
  3. Step 3: Cross multiply
    18,012x = 37,851 × 37,851
  4. Step 4: Simplify right side
    18,012x = 1,432,698,201
  5. Step 5: Solve for x
    x = 1,432,698,201/18,012
  6. Step 6: Final answer
    x = 79,541.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.