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Finding the Third Proportional to 23,649 and 50,989

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Solution

The third proportional to 23,649 and 50,989 is: 109,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649 : 50,989 = 50,989 : x
  2. Step 2: Convert to fraction form
    23,649/50,989 = 50,989/x
  3. Step 3: Cross multiply
    23,649x = 50,989 × 50,989
  4. Step 4: Simplify right side
    23,649x = 2,599,878,121
  5. Step 5: Solve for x
    x = 2,599,878,121/23,649
  6. Step 6: Final answer
    x = 109,936.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.