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Finding the Third Proportional to 13,719.38 and 20,091.38

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Solution

The third proportional to 13,719.38 and 20,091.38 is: 29,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.38 : 20,091.38 = 20,091.38 : x
  2. Step 2: Convert to fraction form
    13,719.38/20,091.38 = 20,091.38/x
  3. Step 3: Cross multiply
    13,719.38x = 20,091.38 × 20,091.38
  4. Step 4: Simplify right side
    13,719.38x = 403,663,349.39
  5. Step 5: Solve for x
    x = 403,663,349.39/13,719.38
  6. Step 6: Final answer
    x = 29,422.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.