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Finding the Third Proportional to 6,787 and 10,613

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Solution

The third proportional to 6,787 and 10,613 is: 16,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787 : 10,613 = 10,613 : x
  2. Step 2: Convert to fraction form
    6,787/10,613 = 10,613/x
  3. Step 3: Cross multiply
    6,787x = 10,613 × 10,613
  4. Step 4: Simplify right side
    6,787x = 112,635,769
  5. Step 5: Solve for x
    x = 112,635,769/6,787
  6. Step 6: Final answer
    x = 16,595.81

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