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Finding the Third Proportional to 49,052 and 73,728

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Solution

The third proportional to 49,052 and 73,728 is: 110,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,052 : 73,728 = 73,728 : x
  2. Step 2: Convert to fraction form
    49,052/73,728 = 73,728/x
  3. Step 3: Cross multiply
    49,052x = 73,728 × 73,728
  4. Step 4: Simplify right side
    49,052x = 5,435,817,984
  5. Step 5: Solve for x
    x = 5,435,817,984/49,052
  6. Step 6: Final answer
    x = 110,817.46

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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.