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Finding the Third Proportional to 49,804 and 74,894

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Solution

The third proportional to 49,804 and 74,894 is: 112,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,804 : 74,894 = 74,894 : x
  2. Step 2: Convert to fraction form
    49,804/74,894 = 74,894/x
  3. Step 3: Cross multiply
    49,804x = 74,894 × 74,894
  4. Step 4: Simplify right side
    49,804x = 5,609,111,236
  5. Step 5: Solve for x
    x = 5,609,111,236/49,804
  6. Step 6: Final answer
    x = 112,623.71

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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.