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Finding the Third Proportional to 13,269.38 and 19,938.38

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Solution

The third proportional to 13,269.38 and 19,938.38 is: 29,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269.38 : 19,938.38 = 19,938.38 : x
  2. Step 2: Convert to fraction form
    13,269.38/19,938.38 = 19,938.38/x
  3. Step 3: Cross multiply
    13,269.38x = 19,938.38 × 19,938.38
  4. Step 4: Simplify right side
    13,269.38x = 397,538,797.64
  5. Step 5: Solve for x
    x = 397,538,797.64/13,269.38
  6. Step 6: Final answer
    x = 29,959.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.