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Finding the Third Proportional to 30,169 and 49,874

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Solution

The third proportional to 30,169 and 49,874 is: 82,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169 : 49,874 = 49,874 : x
  2. Step 2: Convert to fraction form
    30,169/49,874 = 49,874/x
  3. Step 3: Cross multiply
    30,169x = 49,874 × 49,874
  4. Step 4: Simplify right side
    30,169x = 2,487,415,876
  5. Step 5: Solve for x
    x = 2,487,415,876/30,169
  6. Step 6: Final answer
    x = 82,449.40

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.