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Finding the Third Proportional to 11,769.75 and 24,751.13

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Solution

The third proportional to 11,769.75 and 24,751.13 is: 52,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.75 : 24,751.13 = 24,751.13 : x
  2. Step 2: Convert to fraction form
    11,769.75/24,751.13 = 24,751.13/x
  3. Step 3: Cross multiply
    11,769.75x = 24,751.13 × 24,751.13
  4. Step 4: Simplify right side
    11,769.75x = 612,618,188.77
  5. Step 5: Solve for x
    x = 612,618,188.77/11,769.75
  6. Step 6: Final answer
    x = 52,050.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.