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Finding the Third Proportional to 27,050 and 57,922

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Solution

The third proportional to 27,050 and 57,922 is: 124,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050 : 57,922 = 57,922 : x
  2. Step 2: Convert to fraction form
    27,050/57,922 = 57,922/x
  3. Step 3: Cross multiply
    27,050x = 57,922 × 57,922
  4. Step 4: Simplify right side
    27,050x = 3,354,958,084
  5. Step 5: Solve for x
    x = 3,354,958,084/27,050
  6. Step 6: Final answer
    x = 124,028.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.