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Finding the Third Proportional to 26,496 and 38,314

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Solution

The third proportional to 26,496 and 38,314 is: 55,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496 : 38,314 = 38,314 : x
  2. Step 2: Convert to fraction form
    26,496/38,314 = 38,314/x
  3. Step 3: Cross multiply
    26,496x = 38,314 × 38,314
  4. Step 4: Simplify right side
    26,496x = 1,467,962,596
  5. Step 5: Solve for x
    x = 1,467,962,596/26,496
  6. Step 6: Final answer
    x = 55,403.18

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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.