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Finding the Third Proportional to 30,935 and 49,806

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Solution

The third proportional to 30,935 and 49,806 is: 80,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935 : 49,806 = 49,806 : x
  2. Step 2: Convert to fraction form
    30,935/49,806 = 49,806/x
  3. Step 3: Cross multiply
    30,935x = 49,806 × 49,806
  4. Step 4: Simplify right side
    30,935x = 2,480,637,636
  5. Step 5: Solve for x
    x = 2,480,637,636/30,935
  6. Step 6: Final answer
    x = 80,188.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.