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Finding the Third Proportional to 14,229.84 and 20,883.42

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Solution

The third proportional to 14,229.84 and 20,883.42 is: 30,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.84 : 20,883.42 = 20,883.42 : x
  2. Step 2: Convert to fraction form
    14,229.84/20,883.42 = 20,883.42/x
  3. Step 3: Cross multiply
    14,229.84x = 20,883.42 × 20,883.42
  4. Step 4: Simplify right side
    14,229.84x = 436,117,309.21
  5. Step 5: Solve for x
    x = 436,117,309.21/14,229.84
  6. Step 6: Final answer
    x = 30,648.07

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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.