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Finding the Third Proportional to 26,181 and 54,570

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Solution

The third proportional to 26,181 and 54,570 is: 113,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,181 : 54,570 = 54,570 : x
  2. Step 2: Convert to fraction form
    26,181/54,570 = 54,570/x
  3. Step 3: Cross multiply
    26,181x = 54,570 × 54,570
  4. Step 4: Simplify right side
    26,181x = 2,977,884,900
  5. Step 5: Solve for x
    x = 2,977,884,900/26,181
  6. Step 6: Final answer
    x = 113,742.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.