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Finding the Third Proportional to 51,921.75 and 77,795.25

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Solution

The third proportional to 51,921.75 and 77,795.25 is: 116,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921.75 : 77,795.25 = 77,795.25 : x
  2. Step 2: Convert to fraction form
    51,921.75/77,795.25 = 77,795.25/x
  3. Step 3: Cross multiply
    51,921.75x = 77,795.25 × 77,795.25
  4. Step 4: Simplify right side
    51,921.75x = 6,052,100,922.56
  5. Step 5: Solve for x
    x = 6,052,100,922.56/51,921.75
  6. Step 6: Final answer
    x = 116,561.96

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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.