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Finding the Third Proportional to 30,983 and 65,962

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Solution

The third proportional to 30,983 and 65,962 is: 140,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983 : 65,962 = 65,962 : x
  2. Step 2: Convert to fraction form
    30,983/65,962 = 65,962/x
  3. Step 3: Cross multiply
    30,983x = 65,962 × 65,962
  4. Step 4: Simplify right side
    30,983x = 4,350,985,444
  5. Step 5: Solve for x
    x = 4,350,985,444/30,983
  6. Step 6: Final answer
    x = 140,431.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.