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Finding the Third Proportional to 11,721.38 and 23,877.75

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Solution

The third proportional to 11,721.38 and 23,877.75 is: 48,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721.38 : 23,877.75 = 23,877.75 : x
  2. Step 2: Convert to fraction form
    11,721.38/23,877.75 = 23,877.75/x
  3. Step 3: Cross multiply
    11,721.38x = 23,877.75 × 23,877.75
  4. Step 4: Simplify right side
    11,721.38x = 570,146,945.06
  5. Step 5: Solve for x
    x = 570,146,945.06/11,721.38
  6. Step 6: Final answer
    x = 48,641.64

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.