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Finding the Third Proportional to 13,629.75 and 28,110

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Solution

The third proportional to 13,629.75 and 28,110 is: 57,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629.75 : 28,110 = 28,110 : x
  2. Step 2: Convert to fraction form
    13,629.75/28,110 = 28,110/x
  3. Step 3: Cross multiply
    13,629.75x = 28,110 × 28,110
  4. Step 4: Simplify right side
    13,629.75x = 790,172,100
  5. Step 5: Solve for x
    x = 790,172,100/13,629.75
  6. Step 6: Final answer
    x = 57,974.07

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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.