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Finding the Third Proportional to 5,057.44 and 7,517.81

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Solution

The third proportional to 5,057.44 and 7,517.81 is: 11,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.44 : 7,517.81 = 7,517.81 : x
  2. Step 2: Convert to fraction form
    5,057.44/7,517.81 = 7,517.81/x
  3. Step 3: Cross multiply
    5,057.44x = 7,517.81 × 7,517.81
  4. Step 4: Simplify right side
    5,057.44x = 56,517,504.79
  5. Step 5: Solve for x
    x = 56,517,504.79/5,057.44
  6. Step 6: Final answer
    x = 11,175.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.