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Finding the Third Proportional to 11,480.44 and 17,732.25

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Solution

The third proportional to 11,480.44 and 17,732.25 is: 27,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.44 : 17,732.25 = 17,732.25 : x
  2. Step 2: Convert to fraction form
    11,480.44/17,732.25 = 17,732.25/x
  3. Step 3: Cross multiply
    11,480.44x = 17,732.25 × 17,732.25
  4. Step 4: Simplify right side
    11,480.44x = 314,432,690.06
  5. Step 5: Solve for x
    x = 314,432,690.06/11,480.44
  6. Step 6: Final answer
    x = 27,388.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.