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Finding the Third Proportional to 2,838 and 3,264

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Solution

The third proportional to 2,838 and 3,264 is: 3,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838 : 3,264 = 3,264 : x
  2. Step 2: Convert to fraction form
    2,838/3,264 = 3,264/x
  3. Step 3: Cross multiply
    2,838x = 3,264 × 3,264
  4. Step 4: Simplify right side
    2,838x = 10,653,696
  5. Step 5: Solve for x
    x = 10,653,696/2,838
  6. Step 6: Final answer
    x = 3,753.95

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.