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Finding the Third Proportional to 23,617 and 33,016

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Solution

The third proportional to 23,617 and 33,016 is: 46,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617 : 33,016 = 33,016 : x
  2. Step 2: Convert to fraction form
    23,617/33,016 = 33,016/x
  3. Step 3: Cross multiply
    23,617x = 33,016 × 33,016
  4. Step 4: Simplify right side
    23,617x = 1,090,056,256
  5. Step 5: Solve for x
    x = 1,090,056,256/23,617
  6. Step 6: Final answer
    x = 46,155.58

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.