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Finding the Third Proportional to 23,907 and 50,986.50

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Solution

The third proportional to 23,907 and 50,986.50 is: 108,739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907 : 50,986.50 = 50,986.50 : x
  2. Step 2: Convert to fraction form
    23,907/50,986.50 = 50,986.50/x
  3. Step 3: Cross multiply
    23,907x = 50,986.50 × 50,986.50
  4. Step 4: Simplify right side
    23,907x = 2,599,623,182.25
  5. Step 5: Solve for x
    x = 2,599,623,182.25/23,907
  6. Step 6: Final answer
    x = 108,739.00

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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.