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Finding the Third Proportional to 23,922.75 and 55,876.50

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Solution

The third proportional to 23,922.75 and 55,876.50 is: 130,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.75 : 55,876.50 = 55,876.50 : x
  2. Step 2: Convert to fraction form
    23,922.75/55,876.50 = 55,876.50/x
  3. Step 3: Cross multiply
    23,922.75x = 55,876.50 × 55,876.50
  4. Step 4: Simplify right side
    23,922.75x = 3,122,183,252.25
  5. Step 5: Solve for x
    x = 3,122,183,252.25/23,922.75
  6. Step 6: Final answer
    x = 130,511.05

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.