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Finding the Third Proportional to 3,414 and 5,595

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Solution

The third proportional to 3,414 and 5,595 is: 9,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414 : 5,595 = 5,595 : x
  2. Step 2: Convert to fraction form
    3,414/5,595 = 5,595/x
  3. Step 3: Cross multiply
    3,414x = 5,595 × 5,595
  4. Step 4: Simplify right side
    3,414x = 31,304,025
  5. Step 5: Solve for x
    x = 31,304,025/3,414
  6. Step 6: Final answer
    x = 9,169.31

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.