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Finding the Third Proportional to 6,693 and 10,357

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Solution

The third proportional to 6,693 and 10,357 is: 16,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693 : 10,357 = 10,357 : x
  2. Step 2: Convert to fraction form
    6,693/10,357 = 10,357/x
  3. Step 3: Cross multiply
    6,693x = 10,357 × 10,357
  4. Step 4: Simplify right side
    6,693x = 107,267,449
  5. Step 5: Solve for x
    x = 107,267,449/6,693
  6. Step 6: Final answer
    x = 16,026.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.