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Finding the Third Proportional to 11,212.88 and 17,591.91

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Solution

The third proportional to 11,212.88 and 17,591.91 is: 27,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.88 : 17,591.91 = 17,591.91 : x
  2. Step 2: Convert to fraction form
    11,212.88/17,591.91 = 17,591.91/x
  3. Step 3: Cross multiply
    11,212.88x = 17,591.91 × 17,591.91
  4. Step 4: Simplify right side
    11,212.88x = 309,475,165.51
  5. Step 5: Solve for x
    x = 309,475,165.51/11,212.88
  6. Step 6: Final answer
    x = 27,599.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.