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Finding the Third Proportional to 36,072 and 56,601

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Solution

The third proportional to 36,072 and 56,601 is: 88,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,072 : 56,601 = 56,601 : x
  2. Step 2: Convert to fraction form
    36,072/56,601 = 56,601/x
  3. Step 3: Cross multiply
    36,072x = 56,601 × 56,601
  4. Step 4: Simplify right side
    36,072x = 3,203,673,201
  5. Step 5: Solve for x
    x = 3,203,673,201/36,072
  6. Step 6: Final answer
    x = 88,813.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.