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Finding the Third Proportional to 21,438 and 33,129

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Solution

The third proportional to 21,438 and 33,129 is: 51,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438 : 33,129 = 33,129 : x
  2. Step 2: Convert to fraction form
    21,438/33,129 = 33,129/x
  3. Step 3: Cross multiply
    21,438x = 33,129 × 33,129
  4. Step 4: Simplify right side
    21,438x = 1,097,530,641
  5. Step 5: Solve for x
    x = 1,097,530,641/21,438
  6. Step 6: Final answer
    x = 51,195.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.