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Finding the Third Proportional to 10,926 and 17,613

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Solution

The third proportional to 10,926 and 17,613 is: 28,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926 : 17,613 = 17,613 : x
  2. Step 2: Convert to fraction form
    10,926/17,613 = 17,613/x
  3. Step 3: Cross multiply
    10,926x = 17,613 × 17,613
  4. Step 4: Simplify right side
    10,926x = 310,217,769
  5. Step 5: Solve for x
    x = 310,217,769/10,926
  6. Step 6: Final answer
    x = 28,392.62

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.