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Finding the Third Proportional to 11,175.73 and 24,273.63

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Solution

The third proportional to 11,175.73 and 24,273.63 is: 52,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.73 : 24,273.63 = 24,273.63 : x
  2. Step 2: Convert to fraction form
    11,175.73/24,273.63 = 24,273.63/x
  3. Step 3: Cross multiply
    11,175.73x = 24,273.63 × 24,273.63
  4. Step 4: Simplify right side
    11,175.73x = 589,209,249.92
  5. Step 5: Solve for x
    x = 589,209,249.92/11,175.73
  6. Step 6: Final answer
    x = 52,722.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.