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Finding the Third Proportional to 2,688 and 6,273

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Solution

The third proportional to 2,688 and 6,273 is: 14,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688 : 6,273 = 6,273 : x
  2. Step 2: Convert to fraction form
    2,688/6,273 = 6,273/x
  3. Step 3: Cross multiply
    2,688x = 6,273 × 6,273
  4. Step 4: Simplify right side
    2,688x = 39,350,529
  5. Step 5: Solve for x
    x = 39,350,529/2,688
  6. Step 6: Final answer
    x = 14,639.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.