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Finding the Third Proportional to 31,100 and 46,806

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Solution

The third proportional to 31,100 and 46,806 is: 70,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100 : 46,806 = 46,806 : x
  2. Step 2: Convert to fraction form
    31,100/46,806 = 46,806/x
  3. Step 3: Cross multiply
    31,100x = 46,806 × 46,806
  4. Step 4: Simplify right side
    31,100x = 2,190,801,636
  5. Step 5: Solve for x
    x = 2,190,801,636/31,100
  6. Step 6: Final answer
    x = 70,443.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.