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Finding the Third Proportional to 15,438.30 and 33,217.17

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Solution

The third proportional to 15,438.30 and 33,217.17 is: 71,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.30 : 33,217.17 = 33,217.17 : x
  2. Step 2: Convert to fraction form
    15,438.30/33,217.17 = 33,217.17/x
  3. Step 3: Cross multiply
    15,438.30x = 33,217.17 × 33,217.17
  4. Step 4: Simplify right side
    15,438.30x = 1,103,380,507.37
  5. Step 5: Solve for x
    x = 1,103,380,507.37/15,438.30
  6. Step 6: Final answer
    x = 71,470.32

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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.