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Finding the Third Proportional to 26,404 and 36,385

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Solution

The third proportional to 26,404 and 36,385 is: 50,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,404 : 36,385 = 36,385 : x
  2. Step 2: Convert to fraction form
    26,404/36,385 = 36,385/x
  3. Step 3: Cross multiply
    26,404x = 36,385 × 36,385
  4. Step 4: Simplify right side
    26,404x = 1,323,868,225
  5. Step 5: Solve for x
    x = 1,323,868,225/26,404
  6. Step 6: Final answer
    x = 50,138.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.