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Finding the Third Proportional to 6,429 and 9,393

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Solution

The third proportional to 6,429 and 9,393 is: 13,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429 : 9,393 = 9,393 : x
  2. Step 2: Convert to fraction form
    6,429/9,393 = 9,393/x
  3. Step 3: Cross multiply
    6,429x = 9,393 × 9,393
  4. Step 4: Simplify right side
    6,429x = 88,228,449
  5. Step 5: Solve for x
    x = 88,228,449/6,429
  6. Step 6: Final answer
    x = 13,723.51

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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.