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Finding the Third Proportional to 1,919 and 3,973

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Solution

The third proportional to 1,919 and 3,973 is: 8,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919 : 3,973 = 3,973 : x
  2. Step 2: Convert to fraction form
    1,919/3,973 = 3,973/x
  3. Step 3: Cross multiply
    1,919x = 3,973 × 3,973
  4. Step 4: Simplify right side
    1,919x = 15,784,729
  5. Step 5: Solve for x
    x = 15,784,729/1,919
  6. Step 6: Final answer
    x = 8,225.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.