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Finding the Third Proportional to 30,868 and 49,068

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Solution

The third proportional to 30,868 and 49,068 is: 77,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868 : 49,068 = 49,068 : x
  2. Step 2: Convert to fraction form
    30,868/49,068 = 49,068/x
  3. Step 3: Cross multiply
    30,868x = 49,068 × 49,068
  4. Step 4: Simplify right side
    30,868x = 2,407,668,624
  5. Step 5: Solve for x
    x = 2,407,668,624/30,868
  6. Step 6: Final answer
    x = 77,998.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.