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Finding the Third Proportional to 23,685.75 and 51,198.75

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Solution

The third proportional to 23,685.75 and 51,198.75 is: 110,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.75 : 51,198.75 = 51,198.75 : x
  2. Step 2: Convert to fraction form
    23,685.75/51,198.75 = 51,198.75/x
  3. Step 3: Cross multiply
    23,685.75x = 51,198.75 × 51,198.75
  4. Step 4: Simplify right side
    23,685.75x = 2,621,312,001.56
  5. Step 5: Solve for x
    x = 2,621,312,001.56/23,685.75
  6. Step 6: Final answer
    x = 110,670.42

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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.