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Finding the Third Proportional to 14,177.25 and 20,855.25

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Solution

The third proportional to 14,177.25 and 20,855.25 is: 30,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.25 : 20,855.25 = 20,855.25 : x
  2. Step 2: Convert to fraction form
    14,177.25/20,855.25 = 20,855.25/x
  3. Step 3: Cross multiply
    14,177.25x = 20,855.25 × 20,855.25
  4. Step 4: Simplify right side
    14,177.25x = 434,941,452.56
  5. Step 5: Solve for x
    x = 434,941,452.56/14,177.25
  6. Step 6: Final answer
    x = 30,678.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.