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Finding the Third Proportional to 11,508.75 and 17,771.91

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Solution

The third proportional to 11,508.75 and 17,771.91 is: 27,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.75 : 17,771.91 = 17,771.91 : x
  2. Step 2: Convert to fraction form
    11,508.75/17,771.91 = 17,771.91/x
  3. Step 3: Cross multiply
    11,508.75x = 17,771.91 × 17,771.91
  4. Step 4: Simplify right side
    11,508.75x = 315,840,651.76
  5. Step 5: Solve for x
    x = 315,840,651.76/11,508.75
  6. Step 6: Final answer
    x = 27,443.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.