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Finding the Third Proportional to 13,501.69 and 19,113.47

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Solution

The third proportional to 13,501.69 and 19,113.47 is: 27,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.69 : 19,113.47 = 19,113.47 : x
  2. Step 2: Convert to fraction form
    13,501.69/19,113.47 = 19,113.47/x
  3. Step 3: Cross multiply
    13,501.69x = 19,113.47 × 19,113.47
  4. Step 4: Simplify right side
    13,501.69x = 365,324,687.66
  5. Step 5: Solve for x
    x = 365,324,687.66/13,501.69
  6. Step 6: Final answer
    x = 27,057.71

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.