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Finding the Third Proportional to 17,541.56 and 27,884.25

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Solution

The third proportional to 17,541.56 and 27,884.25 is: 44,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541.56 : 27,884.25 = 27,884.25 : x
  2. Step 2: Convert to fraction form
    17,541.56/27,884.25 = 27,884.25/x
  3. Step 3: Cross multiply
    17,541.56x = 27,884.25 × 27,884.25
  4. Step 4: Simplify right side
    17,541.56x = 777,531,398.06
  5. Step 5: Solve for x
    x = 777,531,398.06/17,541.56
  6. Step 6: Final answer
    x = 44,325.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.