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Finding the Third Proportional to 39,775 and 55,752

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Solution

The third proportional to 39,775 and 55,752 is: 78,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,775 : 55,752 = 55,752 : x
  2. Step 2: Convert to fraction form
    39,775/55,752 = 55,752/x
  3. Step 3: Cross multiply
    39,775x = 55,752 × 55,752
  4. Step 4: Simplify right side
    39,775x = 3,108,285,504
  5. Step 5: Solve for x
    x = 3,108,285,504/39,775
  6. Step 6: Final answer
    x = 78,146.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.