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Finding the Third Proportional to 19,021 and 28,589

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Solution

The third proportional to 19,021 and 28,589 is: 42,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,021 : 28,589 = 28,589 : x
  2. Step 2: Convert to fraction form
    19,021/28,589 = 28,589/x
  3. Step 3: Cross multiply
    19,021x = 28,589 × 28,589
  4. Step 4: Simplify right side
    19,021x = 817,330,921
  5. Step 5: Solve for x
    x = 817,330,921/19,021
  6. Step 6: Final answer
    x = 42,969.92

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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.