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Finding the Third Proportional to 5,533.31 and 11,691.84

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Solution

The third proportional to 5,533.31 and 11,691.84 is: 24,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.31 : 11,691.84 = 11,691.84 : x
  2. Step 2: Convert to fraction form
    5,533.31/11,691.84 = 11,691.84/x
  3. Step 3: Cross multiply
    5,533.31x = 11,691.84 × 11,691.84
  4. Step 4: Simplify right side
    5,533.31x = 136,699,210.27
  5. Step 5: Solve for x
    x = 136,699,210.27/5,533.31
  6. Step 6: Final answer
    x = 24,704.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.