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Finding the Third Proportional to 13,503.38 and 19,419.75

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Solution

The third proportional to 13,503.38 and 19,419.75 is: 27,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.38 : 19,419.75 = 19,419.75 : x
  2. Step 2: Convert to fraction form
    13,503.38/19,419.75 = 19,419.75/x
  3. Step 3: Cross multiply
    13,503.38x = 19,419.75 × 19,419.75
  4. Step 4: Simplify right side
    13,503.38x = 377,126,690.06
  5. Step 5: Solve for x
    x = 377,126,690.06/13,503.38
  6. Step 6: Final answer
    x = 27,928.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.