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Finding the Third Proportional to 15,584.25 and 33,357.75

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Solution

The third proportional to 15,584.25 and 33,357.75 is: 71,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.25 : 33,357.75 = 33,357.75 : x
  2. Step 2: Convert to fraction form
    15,584.25/33,357.75 = 33,357.75/x
  3. Step 3: Cross multiply
    15,584.25x = 33,357.75 × 33,357.75
  4. Step 4: Simplify right side
    15,584.25x = 1,112,739,485.06
  5. Step 5: Solve for x
    x = 1,112,739,485.06/15,584.25
  6. Step 6: Final answer
    x = 71,401.54

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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.