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Finding the Third Proportional to 14,884.88 and 20,207.25

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Solution

The third proportional to 14,884.88 and 20,207.25 is: 27,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.88 : 20,207.25 = 20,207.25 : x
  2. Step 2: Convert to fraction form
    14,884.88/20,207.25 = 20,207.25/x
  3. Step 3: Cross multiply
    14,884.88x = 20,207.25 × 20,207.25
  4. Step 4: Simplify right side
    14,884.88x = 408,332,952.56
  5. Step 5: Solve for x
    x = 408,332,952.56/14,884.88
  6. Step 6: Final answer
    x = 27,432.74

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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.