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Finding the Third Proportional to 10,857.94 and 23,793.75

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Solution

The third proportional to 10,857.94 and 23,793.75 is: 52,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.94 : 23,793.75 = 23,793.75 : x
  2. Step 2: Convert to fraction form
    10,857.94/23,793.75 = 23,793.75/x
  3. Step 3: Cross multiply
    10,857.94x = 23,793.75 × 23,793.75
  4. Step 4: Simplify right side
    10,857.94x = 566,142,539.06
  5. Step 5: Solve for x
    x = 566,142,539.06/10,857.94
  6. Step 6: Final answer
    x = 52,140.89

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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.