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Finding the Third Proportional to 36,552 and 75,977

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Solution

The third proportional to 36,552 and 75,977 is: 157,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,552 : 75,977 = 75,977 : x
  2. Step 2: Convert to fraction form
    36,552/75,977 = 75,977/x
  3. Step 3: Cross multiply
    36,552x = 75,977 × 75,977
  4. Step 4: Simplify right side
    36,552x = 5,772,504,529
  5. Step 5: Solve for x
    x = 5,772,504,529/36,552
  6. Step 6: Final answer
    x = 157,925.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.