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Finding the Third Proportional to 2,814 and 4,222

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Solution

The third proportional to 2,814 and 4,222 is: 6,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814 : 4,222 = 4,222 : x
  2. Step 2: Convert to fraction form
    2,814/4,222 = 4,222/x
  3. Step 3: Cross multiply
    2,814x = 4,222 × 4,222
  4. Step 4: Simplify right side
    2,814x = 17,825,284
  5. Step 5: Solve for x
    x = 17,825,284/2,814
  6. Step 6: Final answer
    x = 6,334.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.