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Finding the Third Proportional to 15,419.25 and 33,027.75

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Solution

The third proportional to 15,419.25 and 33,027.75 is: 70,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419.25 : 33,027.75 = 33,027.75 : x
  2. Step 2: Convert to fraction form
    15,419.25/33,027.75 = 33,027.75/x
  3. Step 3: Cross multiply
    15,419.25x = 33,027.75 × 33,027.75
  4. Step 4: Simplify right side
    15,419.25x = 1,090,832,270.06
  5. Step 5: Solve for x
    x = 1,090,832,270.06/15,419.25
  6. Step 6: Final answer
    x = 70,744.83

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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.