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Finding the Third Proportional to 1,516 and 3,224

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Solution

The third proportional to 1,516 and 3,224 is: 6,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516 : 3,224 = 3,224 : x
  2. Step 2: Convert to fraction form
    1,516/3,224 = 3,224/x
  3. Step 3: Cross multiply
    1,516x = 3,224 × 3,224
  4. Step 4: Simplify right side
    1,516x = 10,394,176
  5. Step 5: Solve for x
    x = 10,394,176/1,516
  6. Step 6: Final answer
    x = 6,856.32

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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.