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Finding the Third Proportional to 20,784.50 and 45,450.97

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Solution

The third proportional to 20,784.50 and 45,450.97 is: 99,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.50 : 45,450.97 = 45,450.97 : x
  2. Step 2: Convert to fraction form
    20,784.50/45,450.97 = 45,450.97/x
  3. Step 3: Cross multiply
    20,784.50x = 45,450.97 × 45,450.97
  4. Step 4: Simplify right side
    20,784.50x = 2,065,790,560.31
  5. Step 5: Solve for x
    x = 2,065,790,560.31/20,784.50
  6. Step 6: Final answer
    x = 99,390.92

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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.