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Finding the Third Proportional to 8,385 and 11,721

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Solution

The third proportional to 8,385 and 11,721 is: 16,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385 : 11,721 = 11,721 : x
  2. Step 2: Convert to fraction form
    8,385/11,721 = 11,721/x
  3. Step 3: Cross multiply
    8,385x = 11,721 × 11,721
  4. Step 4: Simplify right side
    8,385x = 137,381,841
  5. Step 5: Solve for x
    x = 137,381,841/8,385
  6. Step 6: Final answer
    x = 16,384.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.