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Finding the Third Proportional to 15,000 and 33,072

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Solution

The third proportional to 15,000 and 33,072 is: 72,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,000 : 33,072 = 33,072 : x
  2. Step 2: Convert to fraction form
    15,000/33,072 = 33,072/x
  3. Step 3: Cross multiply
    15,000x = 33,072 × 33,072
  4. Step 4: Simplify right side
    15,000x = 1,093,757,184
  5. Step 5: Solve for x
    x = 1,093,757,184/15,000
  6. Step 6: Final answer
    x = 72,917.15

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Why These Related Problems?

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