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Finding the Third Proportional to 20,778.50 and 45,451.75

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Solution

The third proportional to 20,778.50 and 45,451.75 is: 99,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.50 : 45,451.75 = 45,451.75 : x
  2. Step 2: Convert to fraction form
    20,778.50/45,451.75 = 45,451.75/x
  3. Step 3: Cross multiply
    20,778.50x = 45,451.75 × 45,451.75
  4. Step 4: Simplify right side
    20,778.50x = 2,065,861,578.06
  5. Step 5: Solve for x
    x = 2,065,861,578.06/20,778.50
  6. Step 6: Final answer
    x = 99,423.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.