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Finding the Third Proportional to 31,307 and 46,974

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Solution

The third proportional to 31,307 and 46,974 is: 70,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307 : 46,974 = 46,974 : x
  2. Step 2: Convert to fraction form
    31,307/46,974 = 46,974/x
  3. Step 3: Cross multiply
    31,307x = 46,974 × 46,974
  4. Step 4: Simplify right side
    31,307x = 2,206,556,676
  5. Step 5: Solve for x
    x = 2,206,556,676/31,307
  6. Step 6: Final answer
    x = 70,481.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.