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Finding the Third Proportional to 36,993 and 57,969

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Solution

The third proportional to 36,993 and 57,969 is: 90,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,993 : 57,969 = 57,969 : x
  2. Step 2: Convert to fraction form
    36,993/57,969 = 57,969/x
  3. Step 3: Cross multiply
    36,993x = 57,969 × 57,969
  4. Step 4: Simplify right side
    36,993x = 3,360,404,961
  5. Step 5: Solve for x
    x = 3,360,404,961/36,993
  6. Step 6: Final answer
    x = 90,838.94

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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.