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Finding the Third Proportional to 19,964 and 33,272

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Solution

The third proportional to 19,964 and 33,272 is: 55,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964 : 33,272 = 33,272 : x
  2. Step 2: Convert to fraction form
    19,964/33,272 = 33,272/x
  3. Step 3: Cross multiply
    19,964x = 33,272 × 33,272
  4. Step 4: Simplify right side
    19,964x = 1,107,025,984
  5. Step 5: Solve for x
    x = 1,107,025,984/19,964
  6. Step 6: Final answer
    x = 55,451.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.