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Finding the Third Proportional to 6,519 and 7,431

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Solution

The third proportional to 6,519 and 7,431 is: 8,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519 : 7,431 = 7,431 : x
  2. Step 2: Convert to fraction form
    6,519/7,431 = 7,431/x
  3. Step 3: Cross multiply
    6,519x = 7,431 × 7,431
  4. Step 4: Simplify right side
    6,519x = 55,219,761
  5. Step 5: Solve for x
    x = 55,219,761/6,519
  6. Step 6: Final answer
    x = 8,470.59

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.