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Finding the Third Proportional to 14,855.25 and 22,286.06

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Solution

The third proportional to 14,855.25 and 22,286.06 is: 33,433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855.25 : 22,286.06 = 22,286.06 : x
  2. Step 2: Convert to fraction form
    14,855.25/22,286.06 = 22,286.06/x
  3. Step 3: Cross multiply
    14,855.25x = 22,286.06 × 22,286.06
  4. Step 4: Simplify right side
    14,855.25x = 496,668,581.75
  5. Step 5: Solve for x
    x = 496,668,581.75/14,855.25
  6. Step 6: Final answer
    x = 33,433.88

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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.