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Finding the Third Proportional to 5,380 and 8,034

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Solution

The third proportional to 5,380 and 8,034 is: 11,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380 : 8,034 = 8,034 : x
  2. Step 2: Convert to fraction form
    5,380/8,034 = 8,034/x
  3. Step 3: Cross multiply
    5,380x = 8,034 × 8,034
  4. Step 4: Simplify right side
    5,380x = 64,545,156
  5. Step 5: Solve for x
    x = 64,545,156/5,380
  6. Step 6: Final answer
    x = 11,997.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.