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Finding the Third Proportional to 11,092.25 and 24,128.38

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Solution

The third proportional to 11,092.25 and 24,128.38 is: 52,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.25 : 24,128.38 = 24,128.38 : x
  2. Step 2: Convert to fraction form
    11,092.25/24,128.38 = 24,128.38/x
  3. Step 3: Cross multiply
    11,092.25x = 24,128.38 × 24,128.38
  4. Step 4: Simplify right side
    11,092.25x = 582,178,480.14
  5. Step 5: Solve for x
    x = 582,178,480.14/11,092.25
  6. Step 6: Final answer
    x = 52,485.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.