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Finding the Third Proportional to 6,671.11 and 13,533.96

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Solution

The third proportional to 6,671.11 and 13,533.96 is: 27,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.11 : 13,533.96 = 13,533.96 : x
  2. Step 2: Convert to fraction form
    6,671.11/13,533.96 = 13,533.96/x
  3. Step 3: Cross multiply
    6,671.11x = 13,533.96 × 13,533.96
  4. Step 4: Simplify right side
    6,671.11x = 183,168,098.66
  5. Step 5: Solve for x
    x = 183,168,098.66/6,671.11
  6. Step 6: Final answer
    x = 27,456.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.