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Finding the Third Proportional to 14,998 and 33,016

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Solution

The third proportional to 14,998 and 33,016 is: 72,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998 : 33,016 = 33,016 : x
  2. Step 2: Convert to fraction form
    14,998/33,016 = 33,016/x
  3. Step 3: Cross multiply
    14,998x = 33,016 × 33,016
  4. Step 4: Simplify right side
    14,998x = 1,090,056,256
  5. Step 5: Solve for x
    x = 1,090,056,256/14,998
  6. Step 6: Final answer
    x = 72,680.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.