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Finding the Third Proportional to 11,524.88 and 23,472.50

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Solution

The third proportional to 11,524.88 and 23,472.50 is: 47,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.88 : 23,472.50 = 23,472.50 : x
  2. Step 2: Convert to fraction form
    11,524.88/23,472.50 = 23,472.50/x
  3. Step 3: Cross multiply
    11,524.88x = 23,472.50 × 23,472.50
  4. Step 4: Simplify right side
    11,524.88x = 550,958,256.25
  5. Step 5: Solve for x
    x = 550,958,256.25/11,524.88
  6. Step 6: Final answer
    x = 47,806.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.