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Finding the Third Proportional to 8,926 and 12,714

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Solution

The third proportional to 8,926 and 12,714 is: 18,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926 : 12,714 = 12,714 : x
  2. Step 2: Convert to fraction form
    8,926/12,714 = 12,714/x
  3. Step 3: Cross multiply
    8,926x = 12,714 × 12,714
  4. Step 4: Simplify right side
    8,926x = 161,645,796
  5. Step 5: Solve for x
    x = 161,645,796/8,926
  6. Step 6: Final answer
    x = 18,109.54

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.