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Finding the Third Proportional to 36,772 and 51,990

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Solution

The third proportional to 36,772 and 51,990 is: 73,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,772 : 51,990 = 51,990 : x
  2. Step 2: Convert to fraction form
    36,772/51,990 = 51,990/x
  3. Step 3: Cross multiply
    36,772x = 51,990 × 51,990
  4. Step 4: Simplify right side
    36,772x = 2,702,960,100
  5. Step 5: Solve for x
    x = 2,702,960,100/36,772
  6. Step 6: Final answer
    x = 73,505.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.