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Finding the Third Proportional to 19,232.75 and 39,994.25

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Solution

The third proportional to 19,232.75 and 39,994.25 is: 83,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232.75 : 39,994.25 = 39,994.25 : x
  2. Step 2: Convert to fraction form
    19,232.75/39,994.25 = 39,994.25/x
  3. Step 3: Cross multiply
    19,232.75x = 39,994.25 × 39,994.25
  4. Step 4: Simplify right side
    19,232.75x = 1,599,540,033.06
  5. Step 5: Solve for x
    x = 1,599,540,033.06/19,232.75
  6. Step 6: Final answer
    x = 83,167.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.