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Finding the Third Proportional to 20,652 and 43,968

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Solution

The third proportional to 20,652 and 43,968 is: 93,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652 : 43,968 = 43,968 : x
  2. Step 2: Convert to fraction form
    20,652/43,968 = 43,968/x
  3. Step 3: Cross multiply
    20,652x = 43,968 × 43,968
  4. Step 4: Simplify right side
    20,652x = 1,933,185,024
  5. Step 5: Solve for x
    x = 1,933,185,024/20,652
  6. Step 6: Final answer
    x = 93,607.64

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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.