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Finding the Third Proportional to 27,752 and 44,108

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Solution

The third proportional to 27,752 and 44,108 is: 70,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752 : 44,108 = 44,108 : x
  2. Step 2: Convert to fraction form
    27,752/44,108 = 44,108/x
  3. Step 3: Cross multiply
    27,752x = 44,108 × 44,108
  4. Step 4: Simplify right side
    27,752x = 1,945,515,664
  5. Step 5: Solve for x
    x = 1,945,515,664/27,752
  6. Step 6: Final answer
    x = 70,103.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.