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Finding the Third Proportional to 21,120 and 33,441

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Solution

The third proportional to 21,120 and 33,441 is: 52,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120 : 33,441 = 33,441 : x
  2. Step 2: Convert to fraction form
    21,120/33,441 = 33,441/x
  3. Step 3: Cross multiply
    21,120x = 33,441 × 33,441
  4. Step 4: Simplify right side
    21,120x = 1,118,300,481
  5. Step 5: Solve for x
    x = 1,118,300,481/21,120
  6. Step 6: Final answer
    x = 52,949.83

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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.