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Finding the Third Proportional to 43,722 and 65,745

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Solution

The third proportional to 43,722 and 65,745 is: 98,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,722 : 65,745 = 65,745 : x
  2. Step 2: Convert to fraction form
    43,722/65,745 = 65,745/x
  3. Step 3: Cross multiply
    43,722x = 65,745 × 65,745
  4. Step 4: Simplify right side
    43,722x = 4,322,405,025
  5. Step 5: Solve for x
    x = 4,322,405,025/43,722
  6. Step 6: Final answer
    x = 98,861.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.