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Finding the Third Proportional to 7,581.94 and 15,540.19

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Solution

The third proportional to 7,581.94 and 15,540.19 is: 31,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.94 : 15,540.19 = 15,540.19 : x
  2. Step 2: Convert to fraction form
    7,581.94/15,540.19 = 15,540.19/x
  3. Step 3: Cross multiply
    7,581.94x = 15,540.19 × 15,540.19
  4. Step 4: Simplify right side
    7,581.94x = 241,497,427.54
  5. Step 5: Solve for x
    x = 241,497,427.54/7,581.94
  6. Step 6: Final answer
    x = 31,851.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.