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Finding the Third Proportional to 6,797 and 9,933

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Solution

The third proportional to 6,797 and 9,933 is: 14,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797 : 9,933 = 9,933 : x
  2. Step 2: Convert to fraction form
    6,797/9,933 = 9,933/x
  3. Step 3: Cross multiply
    6,797x = 9,933 × 9,933
  4. Step 4: Simplify right side
    6,797x = 98,664,489
  5. Step 5: Solve for x
    x = 98,664,489/6,797
  6. Step 6: Final answer
    x = 14,515.89

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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.