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Finding the Third Proportional to 49,734 and 70,812

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Solution

The third proportional to 49,734 and 70,812 is: 100,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,734 : 70,812 = 70,812 : x
  2. Step 2: Convert to fraction form
    49,734/70,812 = 70,812/x
  3. Step 3: Cross multiply
    49,734x = 70,812 × 70,812
  4. Step 4: Simplify right side
    49,734x = 5,014,339,344
  5. Step 5: Solve for x
    x = 5,014,339,344/49,734
  6. Step 6: Final answer
    x = 100,823.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.