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Finding the Third Proportional to 38,584.50 and 81,909

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Solution

The third proportional to 38,584.50 and 81,909 is: 173,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,584.50 : 81,909 = 81,909 : x
  2. Step 2: Convert to fraction form
    38,584.50/81,909 = 81,909/x
  3. Step 3: Cross multiply
    38,584.50x = 81,909 × 81,909
  4. Step 4: Simplify right side
    38,584.50x = 6,709,084,281
  5. Step 5: Solve for x
    x = 6,709,084,281/38,584.50
  6. Step 6: Final answer
    x = 173,880.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.