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Finding the Third Proportional to 11,449.13 and 24,128.25

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Solution

The third proportional to 11,449.13 and 24,128.25 is: 50,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.13 : 24,128.25 = 24,128.25 : x
  2. Step 2: Convert to fraction form
    11,449.13/24,128.25 = 24,128.25/x
  3. Step 3: Cross multiply
    11,449.13x = 24,128.25 × 24,128.25
  4. Step 4: Simplify right side
    11,449.13x = 582,172,448.06
  5. Step 5: Solve for x
    x = 582,172,448.06/11,449.13
  6. Step 6: Final answer
    x = 50,848.64

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.