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Finding the Third Proportional to 23,085.38 and 49,815.75

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Solution

The third proportional to 23,085.38 and 49,815.75 is: 107,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.38 : 49,815.75 = 49,815.75 : x
  2. Step 2: Convert to fraction form
    23,085.38/49,815.75 = 49,815.75/x
  3. Step 3: Cross multiply
    23,085.38x = 49,815.75 × 49,815.75
  4. Step 4: Simplify right side
    23,085.38x = 2,481,608,948.06
  5. Step 5: Solve for x
    x = 2,481,608,948.06/23,085.38
  6. Step 6: Final answer
    x = 107,497.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.