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Finding the Third Proportional to 17,945.75 and 41,915.75

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Solution

The third proportional to 17,945.75 and 41,915.75 is: 97,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,945.75 : 41,915.75 = 41,915.75 : x
  2. Step 2: Convert to fraction form
    17,945.75/41,915.75 = 41,915.75/x
  3. Step 3: Cross multiply
    17,945.75x = 41,915.75 × 41,915.75
  4. Step 4: Simplify right side
    17,945.75x = 1,756,930,098.06
  5. Step 5: Solve for x
    x = 1,756,930,098.06/17,945.75
  6. Step 6: Final answer
    x = 97,902.29

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.