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Finding the Third Proportional to 23,667.75 and 27,987.75

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Solution

The third proportional to 23,667.75 and 27,987.75 is: 33,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.75 : 27,987.75 = 27,987.75 : x
  2. Step 2: Convert to fraction form
    23,667.75/27,987.75 = 27,987.75/x
  3. Step 3: Cross multiply
    23,667.75x = 27,987.75 × 27,987.75
  4. Step 4: Simplify right side
    23,667.75x = 783,314,150.06
  5. Step 5: Solve for x
    x = 783,314,150.06/23,667.75
  6. Step 6: Final answer
    x = 33,096.27

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.