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Finding the Third Proportional to 26,443 and 38,206

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Solution

The third proportional to 26,443 and 38,206 is: 55,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,443 : 38,206 = 38,206 : x
  2. Step 2: Convert to fraction form
    26,443/38,206 = 38,206/x
  3. Step 3: Cross multiply
    26,443x = 38,206 × 38,206
  4. Step 4: Simplify right side
    26,443x = 1,459,698,436
  5. Step 5: Solve for x
    x = 1,459,698,436/26,443
  6. Step 6: Final answer
    x = 55,201.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.