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Finding the Third Proportional to 26,269 and 40,189

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Solution

The third proportional to 26,269 and 40,189 is: 61,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,269 : 40,189 = 40,189 : x
  2. Step 2: Convert to fraction form
    26,269/40,189 = 40,189/x
  3. Step 3: Cross multiply
    26,269x = 40,189 × 40,189
  4. Step 4: Simplify right side
    26,269x = 1,615,155,721
  5. Step 5: Solve for x
    x = 1,615,155,721/26,269
  6. Step 6: Final answer
    x = 61,485.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.