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Finding the Third Proportional to 21,105.40 and 33,907.04

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Solution

The third proportional to 21,105.40 and 33,907.04 is: 54,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.40 : 33,907.04 = 33,907.04 : x
  2. Step 2: Convert to fraction form
    21,105.40/33,907.04 = 33,907.04/x
  3. Step 3: Cross multiply
    21,105.40x = 33,907.04 × 33,907.04
  4. Step 4: Simplify right side
    21,105.40x = 1,149,687,562.88
  5. Step 5: Solve for x
    x = 1,149,687,562.88/21,105.40
  6. Step 6: Final answer
    x = 54,473.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.