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Finding the Third Proportional to 11,589.75 and 14,951.25

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Solution

The third proportional to 11,589.75 and 14,951.25 is: 19,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.75 : 14,951.25 = 14,951.25 : x
  2. Step 2: Convert to fraction form
    11,589.75/14,951.25 = 14,951.25/x
  3. Step 3: Cross multiply
    11,589.75x = 14,951.25 × 14,951.25
  4. Step 4: Simplify right side
    11,589.75x = 223,539,876.56
  5. Step 5: Solve for x
    x = 223,539,876.56/11,589.75
  6. Step 6: Final answer
    x = 19,287.72

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.