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Finding the Third Proportional to 15,274 and 33,019

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Solution

The third proportional to 15,274 and 33,019 is: 71,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274 : 33,019 = 33,019 : x
  2. Step 2: Convert to fraction form
    15,274/33,019 = 33,019/x
  3. Step 3: Cross multiply
    15,274x = 33,019 × 33,019
  4. Step 4: Simplify right side
    15,274x = 1,090,254,361
  5. Step 5: Solve for x
    x = 1,090,254,361/15,274
  6. Step 6: Final answer
    x = 71,379.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.