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Finding the Third Proportional to 13,738 and 28,129

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Solution

The third proportional to 13,738 and 28,129 is: 57,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738 : 28,129 = 28,129 : x
  2. Step 2: Convert to fraction form
    13,738/28,129 = 28,129/x
  3. Step 3: Cross multiply
    13,738x = 28,129 × 28,129
  4. Step 4: Simplify right side
    13,738x = 791,240,641
  5. Step 5: Solve for x
    x = 791,240,641/13,738
  6. Step 6: Final answer
    x = 57,595.04

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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.