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Finding the Third Proportional to 49,006 and 73,576

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Solution

The third proportional to 49,006 and 73,576 is: 110,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006 : 73,576 = 73,576 : x
  2. Step 2: Convert to fraction form
    49,006/73,576 = 73,576/x
  3. Step 3: Cross multiply
    49,006x = 73,576 × 73,576
  4. Step 4: Simplify right side
    49,006x = 5,413,427,776
  5. Step 5: Solve for x
    x = 5,413,427,776/49,006
  6. Step 6: Final answer
    x = 110,464.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.