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Finding the Third Proportional to 11,272 and 16,236.25

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Solution

The third proportional to 11,272 and 16,236.25 is: 23,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272 : 16,236.25 = 16,236.25 : x
  2. Step 2: Convert to fraction form
    11,272/16,236.25 = 16,236.25/x
  3. Step 3: Cross multiply
    11,272x = 16,236.25 × 16,236.25
  4. Step 4: Simplify right side
    11,272x = 263,615,814.06
  5. Step 5: Solve for x
    x = 263,615,814.06/11,272
  6. Step 6: Final answer
    x = 23,386.78

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.