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Finding the Third Proportional to 5,524.88 and 11,515.50

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Solution

The third proportional to 5,524.88 and 11,515.50 is: 24,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.88 : 11,515.50 = 11,515.50 : x
  2. Step 2: Convert to fraction form
    5,524.88/11,515.50 = 11,515.50/x
  3. Step 3: Cross multiply
    5,524.88x = 11,515.50 × 11,515.50
  4. Step 4: Simplify right side
    5,524.88x = 132,606,740.25
  5. Step 5: Solve for x
    x = 132,606,740.25/5,524.88
  6. Step 6: Final answer
    x = 24,001.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.