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Finding the Third Proportional to 11,283.68 and 17,463.09

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Solution

The third proportional to 11,283.68 and 17,463.09 is: 27,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.68 : 17,463.09 = 17,463.09 : x
  2. Step 2: Convert to fraction form
    11,283.68/17,463.09 = 17,463.09/x
  3. Step 3: Cross multiply
    11,283.68x = 17,463.09 × 17,463.09
  4. Step 4: Simplify right side
    11,283.68x = 304,959,643.32
  5. Step 5: Solve for x
    x = 304,959,643.32/11,283.68
  6. Step 6: Final answer
    x = 27,026.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.