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Finding the Third Proportional to 11,196 and 24,140.25

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Solution

The third proportional to 11,196 and 24,140.25 is: 52,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196 : 24,140.25 = 24,140.25 : x
  2. Step 2: Convert to fraction form
    11,196/24,140.25 = 24,140.25/x
  3. Step 3: Cross multiply
    11,196x = 24,140.25 × 24,140.25
  4. Step 4: Simplify right side
    11,196x = 582,751,670.06
  5. Step 5: Solve for x
    x = 582,751,670.06/11,196
  6. Step 6: Final answer
    x = 52,049.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.