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Finding the Third Proportional to 5,881.36 and 11,610.84

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Solution

The third proportional to 5,881.36 and 11,610.84 is: 22,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.36 : 11,610.84 = 11,610.84 : x
  2. Step 2: Convert to fraction form
    5,881.36/11,610.84 = 11,610.84/x
  3. Step 3: Cross multiply
    5,881.36x = 11,610.84 × 11,610.84
  4. Step 4: Simplify right side
    5,881.36x = 134,811,692.59
  5. Step 5: Solve for x
    x = 134,811,692.59/5,881.36
  6. Step 6: Final answer
    x = 22,921.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.