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Finding the Third Proportional to 30,634 and 65,962

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Solution

The third proportional to 30,634 and 65,962 is: 142,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634 : 65,962 = 65,962 : x
  2. Step 2: Convert to fraction form
    30,634/65,962 = 65,962/x
  3. Step 3: Cross multiply
    30,634x = 65,962 × 65,962
  4. Step 4: Simplify right side
    30,634x = 4,350,985,444
  5. Step 5: Solve for x
    x = 4,350,985,444/30,634
  6. Step 6: Final answer
    x = 142,031.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.