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Finding the Third Proportional to 15,429.45 and 33,200.30

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Solution

The third proportional to 15,429.45 and 33,200.30 is: 71,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429.45 : 33,200.30 = 33,200.30 : x
  2. Step 2: Convert to fraction form
    15,429.45/33,200.30 = 33,200.30/x
  3. Step 3: Cross multiply
    15,429.45x = 33,200.30 × 33,200.30
  4. Step 4: Simplify right side
    15,429.45x = 1,102,259,712.59
  5. Step 5: Solve for x
    x = 1,102,259,712.59/15,429.45
  6. Step 6: Final answer
    x = 71,438.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.