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Finding the Third Proportional to 23,100.75 and 48,616.25

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Solution

The third proportional to 23,100.75 and 48,616.25 is: 102,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100.75 : 48,616.25 = 48,616.25 : x
  2. Step 2: Convert to fraction form
    23,100.75/48,616.25 = 48,616.25/x
  3. Step 3: Cross multiply
    23,100.75x = 48,616.25 × 48,616.25
  4. Step 4: Simplify right side
    23,100.75x = 2,363,539,764.06
  5. Step 5: Solve for x
    x = 2,363,539,764.06/23,100.75
  6. Step 6: Final answer
    x = 102,314.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.