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Finding the Third Proportional to 11,503.69 and 24,764.06

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Solution

The third proportional to 11,503.69 and 24,764.06 is: 53,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.69 : 24,764.06 = 24,764.06 : x
  2. Step 2: Convert to fraction form
    11,503.69/24,764.06 = 24,764.06/x
  3. Step 3: Cross multiply
    11,503.69x = 24,764.06 × 24,764.06
  4. Step 4: Simplify right side
    11,503.69x = 613,258,791.50
  5. Step 5: Solve for x
    x = 613,258,791.50/11,503.69
  6. Step 6: Final answer
    x = 53,309.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.