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Finding the Third Proportional to 13,744.69 and 16,000.03

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Solution

The third proportional to 13,744.69 and 16,000.03 is: 18,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.69 : 16,000.03 = 16,000.03 : x
  2. Step 2: Convert to fraction form
    13,744.69/16,000.03 = 16,000.03/x
  3. Step 3: Cross multiply
    13,744.69x = 16,000.03 × 16,000.03
  4. Step 4: Simplify right side
    13,744.69x = 256,001,000.00
  5. Step 5: Solve for x
    x = 256,001,000.00/13,744.69
  6. Step 6: Final answer
    x = 18,625.45

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.