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Finding the Third Proportional to 38,233 and 88,891.50

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Solution

The third proportional to 38,233 and 88,891.50 is: 206,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,233 : 88,891.50 = 88,891.50 : x
  2. Step 2: Convert to fraction form
    38,233/88,891.50 = 88,891.50/x
  3. Step 3: Cross multiply
    38,233x = 88,891.50 × 88,891.50
  4. Step 4: Simplify right side
    38,233x = 7,901,698,772.25
  5. Step 5: Solve for x
    x = 7,901,698,772.25/38,233
  6. Step 6: Final answer
    x = 206,672.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.