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Finding the Third Proportional to 26,380 and 38,786

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Solution

The third proportional to 26,380 and 38,786 is: 57,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380 : 38,786 = 38,786 : x
  2. Step 2: Convert to fraction form
    26,380/38,786 = 38,786/x
  3. Step 3: Cross multiply
    26,380x = 38,786 × 38,786
  4. Step 4: Simplify right side
    26,380x = 1,504,353,796
  5. Step 5: Solve for x
    x = 1,504,353,796/26,380
  6. Step 6: Final answer
    x = 57,026.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.