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Finding the Third Proportional to 11,815.88 and 17,025.19

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Solution

The third proportional to 11,815.88 and 17,025.19 is: 24,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.88 : 17,025.19 = 17,025.19 : x
  2. Step 2: Convert to fraction form
    11,815.88/17,025.19 = 17,025.19/x
  3. Step 3: Cross multiply
    11,815.88x = 17,025.19 × 17,025.19
  4. Step 4: Simplify right side
    11,815.88x = 289,857,009.41
  5. Step 5: Solve for x
    x = 289,857,009.41/11,815.88
  6. Step 6: Final answer
    x = 24,531.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.