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Finding the Third Proportional to 23,577.75 and 49,879.13

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Solution

The third proportional to 23,577.75 and 49,879.13 is: 105,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.75 : 49,879.13 = 49,879.13 : x
  2. Step 2: Convert to fraction form
    23,577.75/49,879.13 = 49,879.13/x
  3. Step 3: Cross multiply
    23,577.75x = 49,879.13 × 49,879.13
  4. Step 4: Simplify right side
    23,577.75x = 2,487,927,110.77
  5. Step 5: Solve for x
    x = 2,487,927,110.77/23,577.75
  6. Step 6: Final answer
    x = 105,520.12

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.