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Finding the Third Proportional to 15,613.70 and 33,175.20

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Solution

The third proportional to 15,613.70 and 33,175.20 is: 70,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.70 : 33,175.20 = 33,175.20 : x
  2. Step 2: Convert to fraction form
    15,613.70/33,175.20 = 33,175.20/x
  3. Step 3: Cross multiply
    15,613.70x = 33,175.20 × 33,175.20
  4. Step 4: Simplify right side
    15,613.70x = 1,100,593,584.02
  5. Step 5: Solve for x
    x = 1,100,593,584.02/15,613.70
  6. Step 6: Final answer
    x = 70,488.97

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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.