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Finding the Third Proportional to 34,974 and 49,063

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Solution

The third proportional to 34,974 and 49,063 is: 68,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,974 : 49,063 = 49,063 : x
  2. Step 2: Convert to fraction form
    34,974/49,063 = 49,063/x
  3. Step 3: Cross multiply
    34,974x = 49,063 × 49,063
  4. Step 4: Simplify right side
    34,974x = 2,407,177,969
  5. Step 5: Solve for x
    x = 2,407,177,969/34,974
  6. Step 6: Final answer
    x = 68,827.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.