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Finding the Third Proportional to 8,262 and 12,405

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Solution

The third proportional to 8,262 and 12,405 is: 18,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262 : 12,405 = 12,405 : x
  2. Step 2: Convert to fraction form
    8,262/12,405 = 12,405/x
  3. Step 3: Cross multiply
    8,262x = 12,405 × 12,405
  4. Step 4: Simplify right side
    8,262x = 153,884,025
  5. Step 5: Solve for x
    x = 153,884,025/8,262
  6. Step 6: Final answer
    x = 18,625.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.