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Finding the Third Proportional to 20,589.19 and 28,405.69

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Solution

The third proportional to 20,589.19 and 28,405.69 is: 39,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.19 : 28,405.69 = 28,405.69 : x
  2. Step 2: Convert to fraction form
    20,589.19/28,405.69 = 28,405.69/x
  3. Step 3: Cross multiply
    20,589.19x = 28,405.69 × 28,405.69
  4. Step 4: Simplify right side
    20,589.19x = 806,883,082.35
  5. Step 5: Solve for x
    x = 806,883,082.35/20,589.19
  6. Step 6: Final answer
    x = 39,189.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.