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Finding the Third Proportional to 30,542.06 and 41,871.94

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Solution

The third proportional to 30,542.06 and 41,871.94 is: 57,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.06 : 41,871.94 = 41,871.94 : x
  2. Step 2: Convert to fraction form
    30,542.06/41,871.94 = 41,871.94/x
  3. Step 3: Cross multiply
    30,542.06x = 41,871.94 × 41,871.94
  4. Step 4: Simplify right side
    30,542.06x = 1,753,259,150.00
  5. Step 5: Solve for x
    x = 1,753,259,150.00/30,542.06
  6. Step 6: Final answer
    x = 57,404.74

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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.