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Finding the Third Proportional to 14,404.50 and 16,044.75

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Solution

The third proportional to 14,404.50 and 16,044.75 is: 17,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.50 : 16,044.75 = 16,044.75 : x
  2. Step 2: Convert to fraction form
    14,404.50/16,044.75 = 16,044.75/x
  3. Step 3: Cross multiply
    14,404.50x = 16,044.75 × 16,044.75
  4. Step 4: Simplify right side
    14,404.50x = 257,434,002.56
  5. Step 5: Solve for x
    x = 257,434,002.56/14,404.50
  6. Step 6: Final answer
    x = 17,871.78

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.