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Finding the Third Proportional to 13,177 and 31,757

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Solution

The third proportional to 13,177 and 31,757 is: 76,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177 : 31,757 = 31,757 : x
  2. Step 2: Convert to fraction form
    13,177/31,757 = 31,757/x
  3. Step 3: Cross multiply
    13,177x = 31,757 × 31,757
  4. Step 4: Simplify right side
    13,177x = 1,008,507,049
  5. Step 5: Solve for x
    x = 1,008,507,049/13,177
  6. Step 6: Final answer
    x = 76,535.41

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.