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Finding the Third Proportional to 26,443 and 57,242

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Solution

The third proportional to 26,443 and 57,242 is: 123,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,443 : 57,242 = 57,242 : x
  2. Step 2: Convert to fraction form
    26,443/57,242 = 57,242/x
  3. Step 3: Cross multiply
    26,443x = 57,242 × 57,242
  4. Step 4: Simplify right side
    26,443x = 3,276,646,564
  5. Step 5: Solve for x
    x = 3,276,646,564/26,443
  6. Step 6: Final answer
    x = 123,913.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.