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Finding the Third Proportional to 13,663.69 and 18,268.03

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Solution

The third proportional to 13,663.69 and 18,268.03 is: 24,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.69 : 18,268.03 = 18,268.03 : x
  2. Step 2: Convert to fraction form
    13,663.69/18,268.03 = 18,268.03/x
  3. Step 3: Cross multiply
    13,663.69x = 18,268.03 × 18,268.03
  4. Step 4: Simplify right side
    13,663.69x = 333,720,965.75
  5. Step 5: Solve for x
    x = 333,720,965.75/13,663.69
  6. Step 6: Final answer
    x = 24,423.93

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.