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Finding the Third Proportional to 31,172 and 43,846

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Solution

The third proportional to 31,172 and 43,846 is: 61,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172 : 43,846 = 43,846 : x
  2. Step 2: Convert to fraction form
    31,172/43,846 = 43,846/x
  3. Step 3: Cross multiply
    31,172x = 43,846 × 43,846
  4. Step 4: Simplify right side
    31,172x = 1,922,471,716
  5. Step 5: Solve for x
    x = 1,922,471,716/31,172
  6. Step 6: Final answer
    x = 61,673.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.