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Finding the Third Proportional to 23,086.75 and 49,453.75

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Solution

The third proportional to 23,086.75 and 49,453.75 is: 105,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.75 : 49,453.75 = 49,453.75 : x
  2. Step 2: Convert to fraction form
    23,086.75/49,453.75 = 49,453.75/x
  3. Step 3: Cross multiply
    23,086.75x = 49,453.75 × 49,453.75
  4. Step 4: Simplify right side
    23,086.75x = 2,445,673,389.06
  5. Step 5: Solve for x
    x = 2,445,673,389.06/23,086.75
  6. Step 6: Final answer
    x = 105,934.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.