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Finding the Third Proportional to 17,981.75 and 39,244.25

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Solution

The third proportional to 17,981.75 and 39,244.25 is: 85,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.75 : 39,244.25 = 39,244.25 : x
  2. Step 2: Convert to fraction form
    17,981.75/39,244.25 = 39,244.25/x
  3. Step 3: Cross multiply
    17,981.75x = 39,244.25 × 39,244.25
  4. Step 4: Simplify right side
    17,981.75x = 1,540,111,158.06
  5. Step 5: Solve for x
    x = 1,540,111,158.06/17,981.75
  6. Step 6: Final answer
    x = 85,648.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.