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Finding the Third Proportional to 20,199.50 and 41,378.50

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Solution

The third proportional to 20,199.50 and 41,378.50 is: 84,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.50 : 41,378.50 = 41,378.50 : x
  2. Step 2: Convert to fraction form
    20,199.50/41,378.50 = 41,378.50/x
  3. Step 3: Cross multiply
    20,199.50x = 41,378.50 × 41,378.50
  4. Step 4: Simplify right side
    20,199.50x = 1,712,180,262.25
  5. Step 5: Solve for x
    x = 1,712,180,262.25/20,199.50
  6. Step 6: Final answer
    x = 84,763.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.