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Finding the Third Proportional to 1,996 and 4,244.50

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Solution

The third proportional to 1,996 and 4,244.50 is: 9,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996 : 4,244.50 = 4,244.50 : x
  2. Step 2: Convert to fraction form
    1,996/4,244.50 = 4,244.50/x
  3. Step 3: Cross multiply
    1,996x = 4,244.50 × 4,244.50
  4. Step 4: Simplify right side
    1,996x = 18,015,780.25
  5. Step 5: Solve for x
    x = 18,015,780.25/1,996
  6. Step 6: Final answer
    x = 9,025.94

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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.