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Finding the Third Proportional to 39,084.50 and 79,549

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Solution

The third proportional to 39,084.50 and 79,549 is: 161,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,084.50 : 79,549 = 79,549 : x
  2. Step 2: Convert to fraction form
    39,084.50/79,549 = 79,549/x
  3. Step 3: Cross multiply
    39,084.50x = 79,549 × 79,549
  4. Step 4: Simplify right side
    39,084.50x = 6,328,043,401
  5. Step 5: Solve for x
    x = 6,328,043,401/39,084.50
  6. Step 6: Final answer
    x = 161,906.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.