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Finding the Third Proportional to 23,036 and 50,984

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Solution

The third proportional to 23,036 and 50,984 is: 112,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036 : 50,984 = 50,984 : x
  2. Step 2: Convert to fraction form
    23,036/50,984 = 50,984/x
  3. Step 3: Cross multiply
    23,036x = 50,984 × 50,984
  4. Step 4: Simplify right side
    23,036x = 2,599,368,256
  5. Step 5: Solve for x
    x = 2,599,368,256/23,036
  6. Step 6: Final answer
    x = 112,839.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.