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Finding the Third Proportional to 36,036 and 73,851

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Solution

The third proportional to 36,036 and 73,851 is: 151,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,036 : 73,851 = 73,851 : x
  2. Step 2: Convert to fraction form
    36,036/73,851 = 73,851/x
  3. Step 3: Cross multiply
    36,036x = 73,851 × 73,851
  4. Step 4: Simplify right side
    36,036x = 5,453,970,201
  5. Step 5: Solve for x
    x = 5,453,970,201/36,036
  6. Step 6: Final answer
    x = 151,347.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.