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Finding the Third Proportional to 17,857.97 and 41,522.63

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Solution

The third proportional to 17,857.97 and 41,522.63 is: 96,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.97 : 41,522.63 = 41,522.63 : x
  2. Step 2: Convert to fraction form
    17,857.97/41,522.63 = 41,522.63/x
  3. Step 3: Cross multiply
    17,857.97x = 41,522.63 × 41,522.63
  4. Step 4: Simplify right side
    17,857.97x = 1,724,128,386.89
  5. Step 5: Solve for x
    x = 1,724,128,386.89/17,857.97
  6. Step 6: Final answer
    x = 96,546.72

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.