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Finding the Third Proportional to 31,962 and 65,526

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Solution

The third proportional to 31,962 and 65,526 is: 134,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,962 : 65,526 = 65,526 : x
  2. Step 2: Convert to fraction form
    31,962/65,526 = 65,526/x
  3. Step 3: Cross multiply
    31,962x = 65,526 × 65,526
  4. Step 4: Simplify right side
    31,962x = 4,293,656,676
  5. Step 5: Solve for x
    x = 4,293,656,676/31,962
  6. Step 6: Final answer
    x = 134,336.30

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.