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Finding the Third Proportional to 17,078 and 26,731

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Solution

The third proportional to 17,078 and 26,731 is: 41,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078 : 26,731 = 26,731 : x
  2. Step 2: Convert to fraction form
    17,078/26,731 = 26,731/x
  3. Step 3: Cross multiply
    17,078x = 26,731 × 26,731
  4. Step 4: Simplify right side
    17,078x = 714,546,361
  5. Step 5: Solve for x
    x = 714,546,361/17,078
  6. Step 6: Final answer
    x = 41,840.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.