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Finding the Third Proportional to 11,535.75 and 25,072.45

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Solution

The third proportional to 11,535.75 and 25,072.45 is: 54,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.75 : 25,072.45 = 25,072.45 : x
  2. Step 2: Convert to fraction form
    11,535.75/25,072.45 = 25,072.45/x
  3. Step 3: Cross multiply
    11,535.75x = 25,072.45 × 25,072.45
  4. Step 4: Simplify right side
    11,535.75x = 628,627,905.71
  5. Step 5: Solve for x
    x = 628,627,905.71/11,535.75
  6. Step 6: Final answer
    x = 54,493.89

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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.