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Finding the Third Proportional to 30,786 and 49,581

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Solution

The third proportional to 30,786 and 49,581 is: 79,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786 : 49,581 = 49,581 : x
  2. Step 2: Convert to fraction form
    30,786/49,581 = 49,581/x
  3. Step 3: Cross multiply
    30,786x = 49,581 × 49,581
  4. Step 4: Simplify right side
    30,786x = 2,458,275,561
  5. Step 5: Solve for x
    x = 2,458,275,561/30,786
  6. Step 6: Final answer
    x = 79,850.44

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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.