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Finding the Third Proportional to 23,774.13 and 50,200.38

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Solution

The third proportional to 23,774.13 and 50,200.38 is: 106,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.13 : 50,200.38 = 50,200.38 : x
  2. Step 2: Convert to fraction form
    23,774.13/50,200.38 = 50,200.38/x
  3. Step 3: Cross multiply
    23,774.13x = 50,200.38 × 50,200.38
  4. Step 4: Simplify right side
    23,774.13x = 2,520,078,434.52
  5. Step 5: Solve for x
    x = 2,520,078,434.52/23,774.13
  6. Step 6: Final answer
    x = 106,000.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.