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Finding the Third Proportional to 26,164 and 38,738

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Solution

The third proportional to 26,164 and 38,738 is: 57,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164 : 38,738 = 38,738 : x
  2. Step 2: Convert to fraction form
    26,164/38,738 = 38,738/x
  3. Step 3: Cross multiply
    26,164x = 38,738 × 38,738
  4. Step 4: Simplify right side
    26,164x = 1,500,632,644
  5. Step 5: Solve for x
    x = 1,500,632,644/26,164
  6. Step 6: Final answer
    x = 57,354.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.