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Finding the Third Proportional to 36,770 and 51,807

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Solution

The third proportional to 36,770 and 51,807 is: 72,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,770 : 51,807 = 51,807 : x
  2. Step 2: Convert to fraction form
    36,770/51,807 = 51,807/x
  3. Step 3: Cross multiply
    36,770x = 51,807 × 51,807
  4. Step 4: Simplify right side
    36,770x = 2,683,965,249
  5. Step 5: Solve for x
    x = 2,683,965,249/36,770
  6. Step 6: Final answer
    x = 72,993.34

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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.