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Finding the Third Proportional to 49,416.75 and 73,989.75

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Solution

The third proportional to 49,416.75 and 73,989.75 is: 110,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416.75 : 73,989.75 = 73,989.75 : x
  2. Step 2: Convert to fraction form
    49,416.75/73,989.75 = 73,989.75/x
  3. Step 3: Cross multiply
    49,416.75x = 73,989.75 × 73,989.75
  4. Step 4: Simplify right side
    49,416.75x = 5,474,483,105.06
  5. Step 5: Solve for x
    x = 5,474,483,105.06/49,416.75
  6. Step 6: Final answer
    x = 110,781.93

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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.