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Finding the Third Proportional to 11,425.50 and 24,946.88

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Solution

The third proportional to 11,425.50 and 24,946.88 is: 54,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.50 : 24,946.88 = 24,946.88 : x
  2. Step 2: Convert to fraction form
    11,425.50/24,946.88 = 24,946.88/x
  3. Step 3: Cross multiply
    11,425.50x = 24,946.88 × 24,946.88
  4. Step 4: Simplify right side
    11,425.50x = 622,346,572.27
  5. Step 5: Solve for x
    x = 622,346,572.27/11,425.50
  6. Step 6: Final answer
    x = 54,469.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.