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Finding the Third Proportional to 23,808.94 and 50,784.47

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Solution

The third proportional to 23,808.94 and 50,784.47 is: 108,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.94 : 50,784.47 = 50,784.47 : x
  2. Step 2: Convert to fraction form
    23,808.94/50,784.47 = 50,784.47/x
  3. Step 3: Cross multiply
    23,808.94x = 50,784.47 × 50,784.47
  4. Step 4: Simplify right side
    23,808.94x = 2,579,062,266.22
  5. Step 5: Solve for x
    x = 2,579,062,266.22/23,808.94
  6. Step 6: Final answer
    x = 108,323.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.