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Finding the Third Proportional to 27,752 and 57,104

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Solution

The third proportional to 27,752 and 57,104 is: 117,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752 : 57,104 = 57,104 : x
  2. Step 2: Convert to fraction form
    27,752/57,104 = 57,104/x
  3. Step 3: Cross multiply
    27,752x = 57,104 × 57,104
  4. Step 4: Simplify right side
    27,752x = 3,260,866,816
  5. Step 5: Solve for x
    x = 3,260,866,816/27,752
  6. Step 6: Final answer
    x = 117,500.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.