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Finding the Third Proportional to 11,269.88 and 17,518.88

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Solution

The third proportional to 11,269.88 and 17,518.88 is: 27,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269.88 : 17,518.88 = 17,518.88 : x
  2. Step 2: Convert to fraction form
    11,269.88/17,518.88 = 17,518.88/x
  3. Step 3: Cross multiply
    11,269.88x = 17,518.88 × 17,518.88
  4. Step 4: Simplify right side
    11,269.88x = 306,910,981.27
  5. Step 5: Solve for x
    x = 306,910,981.27/11,269.88
  6. Step 6: Final answer
    x = 27,232.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.