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Finding the Third Proportional to 23,725.41 and 50,095.97

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Solution

The third proportional to 23,725.41 and 50,095.97 is: 105,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,725.41 : 50,095.97 = 50,095.97 : x
  2. Step 2: Convert to fraction form
    23,725.41/50,095.97 = 50,095.97/x
  3. Step 3: Cross multiply
    23,725.41x = 50,095.97 × 50,095.97
  4. Step 4: Simplify right side
    23,725.41x = 2,509,606,085.00
  5. Step 5: Solve for x
    x = 2,509,606,085.00/23,725.41
  6. Step 6: Final answer
    x = 105,777.16

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.