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Finding the Third Proportional to 20,784.75 and 50,317.88

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Solution

The third proportional to 20,784.75 and 50,317.88 is: 121,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.75 : 50,317.88 = 50,317.88 : x
  2. Step 2: Convert to fraction form
    20,784.75/50,317.88 = 50,317.88/x
  3. Step 3: Cross multiply
    20,784.75x = 50,317.88 × 50,317.88
  4. Step 4: Simplify right side
    20,784.75x = 2,531,888,544.52
  5. Step 5: Solve for x
    x = 2,531,888,544.52/20,784.75
  6. Step 6: Final answer
    x = 121,814.72

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.