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Finding the Third Proportional to 11,255.20 and 24,627.80

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Solution

The third proportional to 11,255.20 and 24,627.80 is: 53,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.20 : 24,627.80 = 24,627.80 : x
  2. Step 2: Convert to fraction form
    11,255.20/24,627.80 = 24,627.80/x
  3. Step 3: Cross multiply
    11,255.20x = 24,627.80 × 24,627.80
  4. Step 4: Simplify right side
    11,255.20x = 606,528,378.92
  5. Step 5: Solve for x
    x = 606,528,378.92/11,255.20
  6. Step 6: Final answer
    x = 53,888.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.