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Finding the Third Proportional to 15,704 and 33,244

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Solution

The third proportional to 15,704 and 33,244 is: 70,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704 : 33,244 = 33,244 : x
  2. Step 2: Convert to fraction form
    15,704/33,244 = 33,244/x
  3. Step 3: Cross multiply
    15,704x = 33,244 × 33,244
  4. Step 4: Simplify right side
    15,704x = 1,105,163,536
  5. Step 5: Solve for x
    x = 1,105,163,536/15,704
  6. Step 6: Final answer
    x = 70,374.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.