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Finding the Third Proportional to 50,553 and 72,822.75

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Solution

The third proportional to 50,553 and 72,822.75 is: 104,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,553 : 72,822.75 = 72,822.75 : x
  2. Step 2: Convert to fraction form
    50,553/72,822.75 = 72,822.75/x
  3. Step 3: Cross multiply
    50,553x = 72,822.75 × 72,822.75
  4. Step 4: Simplify right side
    50,553x = 5,303,152,917.56
  5. Step 5: Solve for x
    x = 5,303,152,917.56/50,553
  6. Step 6: Final answer
    x = 104,902.83

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.