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Finding the Third Proportional to 15,596 and 33,404

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Solution

The third proportional to 15,596 and 33,404 is: 71,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596 : 33,404 = 33,404 : x
  2. Step 2: Convert to fraction form
    15,596/33,404 = 33,404/x
  3. Step 3: Cross multiply
    15,596x = 33,404 × 33,404
  4. Step 4: Simplify right side
    15,596x = 1,115,827,216
  5. Step 5: Solve for x
    x = 1,115,827,216/15,596
  6. Step 6: Final answer
    x = 71,545.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.