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Finding the Third Proportional to 51,972.75 and 77,843.25

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Solution

The third proportional to 51,972.75 and 77,843.25 is: 116,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972.75 : 77,843.25 = 77,843.25 : x
  2. Step 2: Convert to fraction form
    51,972.75/77,843.25 = 77,843.25/x
  3. Step 3: Cross multiply
    51,972.75x = 77,843.25 × 77,843.25
  4. Step 4: Simplify right side
    51,972.75x = 6,059,571,570.56
  5. Step 5: Solve for x
    x = 6,059,571,570.56/51,972.75
  6. Step 6: Final answer
    x = 116,591.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.