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Finding the Third Proportional to 14,882.63 and 20,212.13

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Solution

The third proportional to 14,882.63 and 20,212.13 is: 27,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.63 : 20,212.13 = 20,212.13 : x
  2. Step 2: Convert to fraction form
    14,882.63/20,212.13 = 20,212.13/x
  3. Step 3: Cross multiply
    14,882.63x = 20,212.13 × 20,212.13
  4. Step 4: Simplify right side
    14,882.63x = 408,529,997.02
  5. Step 5: Solve for x
    x = 408,529,997.02/14,882.63
  6. Step 6: Final answer
    x = 27,450.13

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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.