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Finding the Third Proportional to 12,884.03 and 27,971.22

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Solution

The third proportional to 12,884.03 and 27,971.22 is: 60,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.03 : 27,971.22 = 27,971.22 : x
  2. Step 2: Convert to fraction form
    12,884.03/27,971.22 = 27,971.22/x
  3. Step 3: Cross multiply
    12,884.03x = 27,971.22 × 27,971.22
  4. Step 4: Simplify right side
    12,884.03x = 782,389,078.36
  5. Step 5: Solve for x
    x = 782,389,078.36/12,884.03
  6. Step 6: Final answer
    x = 60,725.49

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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.