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Finding the Third Proportional to 26,504 and 38,323

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Solution

The third proportional to 26,504 and 38,323 is: 55,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,504 : 38,323 = 38,323 : x
  2. Step 2: Convert to fraction form
    26,504/38,323 = 38,323/x
  3. Step 3: Cross multiply
    26,504x = 38,323 × 38,323
  4. Step 4: Simplify right side
    26,504x = 1,468,652,329
  5. Step 5: Solve for x
    x = 1,468,652,329/26,504
  6. Step 6: Final answer
    x = 55,412.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.