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Finding the Third Proportional to 3,617 and 5,411

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Solution

The third proportional to 3,617 and 5,411 is: 8,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617 : 5,411 = 5,411 : x
  2. Step 2: Convert to fraction form
    3,617/5,411 = 5,411/x
  3. Step 3: Cross multiply
    3,617x = 5,411 × 5,411
  4. Step 4: Simplify right side
    3,617x = 29,278,921
  5. Step 5: Solve for x
    x = 29,278,921/3,617
  6. Step 6: Final answer
    x = 8,094.81

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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.