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Finding the Third Proportional to 36,993 and 60,099

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Solution

The third proportional to 36,993 and 60,099 is: 97,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,993 : 60,099 = 60,099 : x
  2. Step 2: Convert to fraction form
    36,993/60,099 = 60,099/x
  3. Step 3: Cross multiply
    36,993x = 60,099 × 60,099
  4. Step 4: Simplify right side
    36,993x = 3,611,889,801
  5. Step 5: Solve for x
    x = 3,611,889,801/36,993
  6. Step 6: Final answer
    x = 97,637.12

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.