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Finding the Third Proportional to 11,701.75 and 25,373.94

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Solution

The third proportional to 11,701.75 and 25,373.94 is: 55,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.75 : 25,373.94 = 25,373.94 : x
  2. Step 2: Convert to fraction form
    11,701.75/25,373.94 = 25,373.94/x
  3. Step 3: Cross multiply
    11,701.75x = 25,373.94 × 25,373.94
  4. Step 4: Simplify right side
    11,701.75x = 643,836,704.25
  5. Step 5: Solve for x
    x = 643,836,704.25/11,701.75
  6. Step 6: Final answer
    x = 55,020.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.