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Finding the Third Proportional to 11,776 and 16,782

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Solution

The third proportional to 11,776 and 16,782 is: 23,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776 : 16,782 = 16,782 : x
  2. Step 2: Convert to fraction form
    11,776/16,782 = 16,782/x
  3. Step 3: Cross multiply
    11,776x = 16,782 × 16,782
  4. Step 4: Simplify right side
    11,776x = 281,635,524
  5. Step 5: Solve for x
    x = 281,635,524/11,776
  6. Step 6: Final answer
    x = 23,916.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.