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Finding the Third Proportional to 13,663.69 and 18,462.94

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Solution

The third proportional to 13,663.69 and 18,462.94 is: 24,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.69 : 18,462.94 = 18,462.94 : x
  2. Step 2: Convert to fraction form
    13,663.69/18,462.94 = 18,462.94/x
  3. Step 3: Cross multiply
    13,663.69x = 18,462.94 × 18,462.94
  4. Step 4: Simplify right side
    13,663.69x = 340,880,061.13
  5. Step 5: Solve for x
    x = 340,880,061.13/13,663.69
  6. Step 6: Final answer
    x = 24,947.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.