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Finding the Third Proportional to 14,330.44 and 16,107.38

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Solution

The third proportional to 14,330.44 and 16,107.38 is: 18,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,330.44 : 16,107.38 = 16,107.38 : x
  2. Step 2: Convert to fraction form
    14,330.44/16,107.38 = 16,107.38/x
  3. Step 3: Cross multiply
    14,330.44x = 16,107.38 × 16,107.38
  4. Step 4: Simplify right side
    14,330.44x = 259,447,529.39
  5. Step 5: Solve for x
    x = 259,447,529.39/14,330.44
  6. Step 6: Final answer
    x = 18,104.65

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.