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Finding the Third Proportional to 2,384 and 5,411

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Solution

The third proportional to 2,384 and 5,411 is: 12,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384 : 5,411 = 5,411 : x
  2. Step 2: Convert to fraction form
    2,384/5,411 = 5,411/x
  3. Step 3: Cross multiply
    2,384x = 5,411 × 5,411
  4. Step 4: Simplify right side
    2,384x = 29,278,921
  5. Step 5: Solve for x
    x = 29,278,921/2,384
  6. Step 6: Final answer
    x = 12,281.43

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.