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Finding the Third Proportional to 16,030.41 and 21,843.42

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Solution

The third proportional to 16,030.41 and 21,843.42 is: 29,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.41 : 21,843.42 = 21,843.42 : x
  2. Step 2: Convert to fraction form
    16,030.41/21,843.42 = 21,843.42/x
  3. Step 3: Cross multiply
    16,030.41x = 21,843.42 × 21,843.42
  4. Step 4: Simplify right side
    16,030.41x = 477,135,079.21
  5. Step 5: Solve for x
    x = 477,135,079.21/16,030.41
  6. Step 6: Final answer
    x = 29,764.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.