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Finding the Third Proportional to 14,771.11 and 22,167.42

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Solution

The third proportional to 14,771.11 and 22,167.42 is: 33,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.11 : 22,167.42 = 22,167.42 : x
  2. Step 2: Convert to fraction form
    14,771.11/22,167.42 = 22,167.42/x
  3. Step 3: Cross multiply
    14,771.11x = 22,167.42 × 22,167.42
  4. Step 4: Simplify right side
    14,771.11x = 491,394,592.58
  5. Step 5: Solve for x
    x = 491,394,592.58/14,771.11
  6. Step 6: Final answer
    x = 33,267.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.