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Finding the Third Proportional to 6,494 and 9,498

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Solution

The third proportional to 6,494 and 9,498 is: 13,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494 : 9,498 = 9,498 : x
  2. Step 2: Convert to fraction form
    6,494/9,498 = 9,498/x
  3. Step 3: Cross multiply
    6,494x = 9,498 × 9,498
  4. Step 4: Simplify right side
    6,494x = 90,212,004
  5. Step 5: Solve for x
    x = 90,212,004/6,494
  6. Step 6: Final answer
    x = 13,891.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.