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Finding the Third Proportional to 36,695 and 52,977

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Solution

The third proportional to 36,695 and 52,977 is: 76,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,695 : 52,977 = 52,977 : x
  2. Step 2: Convert to fraction form
    36,695/52,977 = 52,977/x
  3. Step 3: Cross multiply
    36,695x = 52,977 × 52,977
  4. Step 4: Simplify right side
    36,695x = 2,806,562,529
  5. Step 5: Solve for x
    x = 2,806,562,529/36,695
  6. Step 6: Final answer
    x = 76,483.51

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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.