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Finding the Third Proportional to 13,015.69 and 18,794.53

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Solution

The third proportional to 13,015.69 and 18,794.53 is: 27,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 18,794.53 = 18,794.53 : x
  2. Step 2: Convert to fraction form
    13,015.69/18,794.53 = 18,794.53/x
  3. Step 3: Cross multiply
    13,015.69x = 18,794.53 × 18,794.53
  4. Step 4: Simplify right side
    13,015.69x = 353,234,404.91
  5. Step 5: Solve for x
    x = 353,234,404.91/13,015.69
  6. Step 6: Final answer
    x = 27,139.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.