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Finding the Third Proportional to 27,881.50 and 57,122

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Solution

The third proportional to 27,881.50 and 57,122 is: 117,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.50 : 57,122 = 57,122 : x
  2. Step 2: Convert to fraction form
    27,881.50/57,122 = 57,122/x
  3. Step 3: Cross multiply
    27,881.50x = 57,122 × 57,122
  4. Step 4: Simplify right side
    27,881.50x = 3,262,922,884
  5. Step 5: Solve for x
    x = 3,262,922,884/27,881.50
  6. Step 6: Final answer
    x = 117,028.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.