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Finding the Third Proportional to 49,752 and 73,652

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Solution

The third proportional to 49,752 and 73,652 is: 109,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,752 : 73,652 = 73,652 : x
  2. Step 2: Convert to fraction form
    49,752/73,652 = 73,652/x
  3. Step 3: Cross multiply
    49,752x = 73,652 × 73,652
  4. Step 4: Simplify right side
    49,752x = 5,424,617,104
  5. Step 5: Solve for x
    x = 5,424,617,104/49,752
  6. Step 6: Final answer
    x = 109,033.15

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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.