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Finding the Third Proportional to 8,718 and 10,494

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Solution

The third proportional to 8,718 and 10,494 is: 12,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,718 : 10,494 = 10,494 : x
  2. Step 2: Convert to fraction form
    8,718/10,494 = 10,494/x
  3. Step 3: Cross multiply
    8,718x = 10,494 × 10,494
  4. Step 4: Simplify right side
    8,718x = 110,124,036
  5. Step 5: Solve for x
    x = 110,124,036/8,718
  6. Step 6: Final answer
    x = 12,631.80

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.