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Finding the Third Proportional to 921 and 2,219

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Solution

The third proportional to 921 and 2,219 is: 5,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    921 : 2,219 = 2,219 : x
  2. Step 2: Convert to fraction form
    921/2,219 = 2,219/x
  3. Step 3: Cross multiply
    921x = 2,219 × 2,219
  4. Step 4: Simplify right side
    921x = 4,923,961
  5. Step 5: Solve for x
    x = 4,923,961/921
  6. Step 6: Final answer
    x = 5,346.32

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.