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Finding the Third Proportional to 11,247.75 and 16,780.50

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Solution

The third proportional to 11,247.75 and 16,780.50 is: 25,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,247.75 : 16,780.50 = 16,780.50 : x
  2. Step 2: Convert to fraction form
    11,247.75/16,780.50 = 16,780.50/x
  3. Step 3: Cross multiply
    11,247.75x = 16,780.50 × 16,780.50
  4. Step 4: Simplify right side
    11,247.75x = 281,585,180.25
  5. Step 5: Solve for x
    x = 281,585,180.25/11,247.75
  6. Step 6: Final answer
    x = 25,034.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.