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Finding the Third Proportional to 49,682 and 73,559

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Solution

The third proportional to 49,682 and 73,559 is: 108,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,682 : 73,559 = 73,559 : x
  2. Step 2: Convert to fraction form
    49,682/73,559 = 73,559/x
  3. Step 3: Cross multiply
    49,682x = 73,559 × 73,559
  4. Step 4: Simplify right side
    49,682x = 5,410,926,481
  5. Step 5: Solve for x
    x = 5,410,926,481/49,682
  6. Step 6: Final answer
    x = 108,911.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.