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Finding the Third Proportional to 13,734 and 28,113

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Solution

The third proportional to 13,734 and 28,113 is: 57,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 28,113 = 28,113 : x
  2. Step 2: Convert to fraction form
    13,734/28,113 = 28,113/x
  3. Step 3: Cross multiply
    13,734x = 28,113 × 28,113
  4. Step 4: Simplify right side
    13,734x = 790,340,769
  5. Step 5: Solve for x
    x = 790,340,769/13,734
  6. Step 6: Final answer
    x = 57,546.29

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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.