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Finding the Third Proportional to 15,878.25 and 33,867

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Solution

The third proportional to 15,878.25 and 33,867 is: 72,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.25 : 33,867 = 33,867 : x
  2. Step 2: Convert to fraction form
    15,878.25/33,867 = 33,867/x
  3. Step 3: Cross multiply
    15,878.25x = 33,867 × 33,867
  4. Step 4: Simplify right side
    15,878.25x = 1,146,973,689
  5. Step 5: Solve for x
    x = 1,146,973,689/15,878.25
  6. Step 6: Final answer
    x = 72,235.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.