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Finding the Third Proportional to 10,766 and 16,787

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Solution

The third proportional to 10,766 and 16,787 is: 26,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766 : 16,787 = 16,787 : x
  2. Step 2: Convert to fraction form
    10,766/16,787 = 16,787/x
  3. Step 3: Cross multiply
    10,766x = 16,787 × 16,787
  4. Step 4: Simplify right side
    10,766x = 281,803,369
  5. Step 5: Solve for x
    x = 281,803,369/10,766
  6. Step 6: Final answer
    x = 26,175.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.