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Finding the Third Proportional to 13,758 and 28,242

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Solution

The third proportional to 13,758 and 28,242 is: 57,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758 : 28,242 = 28,242 : x
  2. Step 2: Convert to fraction form
    13,758/28,242 = 28,242/x
  3. Step 3: Cross multiply
    13,758x = 28,242 × 28,242
  4. Step 4: Simplify right side
    13,758x = 797,610,564
  5. Step 5: Solve for x
    x = 797,610,564/13,758
  6. Step 6: Final answer
    x = 57,974.31

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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.