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Finding the Third Proportional to 11,721.38 and 24,667.88

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Solution

The third proportional to 11,721.38 and 24,667.88 is: 51,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721.38 : 24,667.88 = 24,667.88 : x
  2. Step 2: Convert to fraction form
    11,721.38/24,667.88 = 24,667.88/x
  3. Step 3: Cross multiply
    11,721.38x = 24,667.88 × 24,667.88
  4. Step 4: Simplify right side
    11,721.38x = 608,504,057.02
  5. Step 5: Solve for x
    x = 608,504,057.02/11,721.38
  6. Step 6: Final answer
    x = 51,914.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.