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Finding the Third Proportional to 30,823 and 49,504

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Solution

The third proportional to 30,823 and 49,504 is: 79,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823 : 49,504 = 49,504 : x
  2. Step 2: Convert to fraction form
    30,823/49,504 = 49,504/x
  3. Step 3: Cross multiply
    30,823x = 49,504 × 49,504
  4. Step 4: Simplify right side
    30,823x = 2,450,646,016
  5. Step 5: Solve for x
    x = 2,450,646,016/30,823
  6. Step 6: Final answer
    x = 79,507.06

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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.