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Finding the Third Proportional to 23,410.25 and 51,199.75

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Solution

The third proportional to 23,410.25 and 51,199.75 is: 111,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.25 : 51,199.75 = 51,199.75 : x
  2. Step 2: Convert to fraction form
    23,410.25/51,199.75 = 51,199.75/x
  3. Step 3: Cross multiply
    23,410.25x = 51,199.75 × 51,199.75
  4. Step 4: Simplify right side
    23,410.25x = 2,621,414,400.06
  5. Step 5: Solve for x
    x = 2,621,414,400.06/23,410.25
  6. Step 6: Final answer
    x = 111,977.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.