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Finding the Third Proportional to 36,924.75 and 55,374.75

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Solution

The third proportional to 36,924.75 and 55,374.75 is: 83,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,924.75 : 55,374.75 = 55,374.75 : x
  2. Step 2: Convert to fraction form
    36,924.75/55,374.75 = 55,374.75/x
  3. Step 3: Cross multiply
    36,924.75x = 55,374.75 × 55,374.75
  4. Step 4: Simplify right side
    36,924.75x = 3,066,362,937.56
  5. Step 5: Solve for x
    x = 3,066,362,937.56/36,924.75
  6. Step 6: Final answer
    x = 83,043.57

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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.