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Finding the Third Proportional to 23,499.75 and 50,894.25

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Solution

The third proportional to 23,499.75 and 50,894.25 is: 110,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,499.75 : 50,894.25 = 50,894.25 : x
  2. Step 2: Convert to fraction form
    23,499.75/50,894.25 = 50,894.25/x
  3. Step 3: Cross multiply
    23,499.75x = 50,894.25 × 50,894.25
  4. Step 4: Simplify right side
    23,499.75x = 2,590,224,683.06
  5. Step 5: Solve for x
    x = 2,590,224,683.06/23,499.75
  6. Step 6: Final answer
    x = 110,223.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.