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Finding the Third Proportional to 16,275 and 33,001

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Solution

The third proportional to 16,275 and 33,001 is: 66,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275 : 33,001 = 33,001 : x
  2. Step 2: Convert to fraction form
    16,275/33,001 = 33,001/x
  3. Step 3: Cross multiply
    16,275x = 33,001 × 33,001
  4. Step 4: Simplify right side
    16,275x = 1,089,066,001
  5. Step 5: Solve for x
    x = 1,089,066,001/16,275
  6. Step 6: Final answer
    x = 66,916.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.