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Finding the Third Proportional to 21,274 and 33,671

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Solution

The third proportional to 21,274 and 33,671 is: 53,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274 : 33,671 = 33,671 : x
  2. Step 2: Convert to fraction form
    21,274/33,671 = 33,671/x
  3. Step 3: Cross multiply
    21,274x = 33,671 × 33,671
  4. Step 4: Simplify right side
    21,274x = 1,133,736,241
  5. Step 5: Solve for x
    x = 1,133,736,241/21,274
  6. Step 6: Final answer
    x = 53,292.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.