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Finding the Third Proportional to 31,098.94 and 42,556.32

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Solution

The third proportional to 31,098.94 and 42,556.32 is: 58,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.94 : 42,556.32 = 42,556.32 : x
  2. Step 2: Convert to fraction form
    31,098.94/42,556.32 = 42,556.32/x
  3. Step 3: Cross multiply
    31,098.94x = 42,556.32 × 42,556.32
  4. Step 4: Simplify right side
    31,098.94x = 1,811,040,731.01
  5. Step 5: Solve for x
    x = 1,811,040,731.01/31,098.94
  6. Step 6: Final answer
    x = 58,234.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.