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Finding the Third Proportional to 15,396.75 and 33,197.34

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Solution

The third proportional to 15,396.75 and 33,197.34 is: 71,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,396.75 : 33,197.34 = 33,197.34 : x
  2. Step 2: Convert to fraction form
    15,396.75/33,197.34 = 33,197.34/x
  3. Step 3: Cross multiply
    15,396.75x = 33,197.34 × 33,197.34
  4. Step 4: Simplify right side
    15,396.75x = 1,102,063,632.06
  5. Step 5: Solve for x
    x = 1,102,063,632.06/15,396.75
  6. Step 6: Final answer
    x = 71,577.68

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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.