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Finding the Third Proportional to 8,932 and 12,678

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Solution

The third proportional to 8,932 and 12,678 is: 17,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932 : 12,678 = 12,678 : x
  2. Step 2: Convert to fraction form
    8,932/12,678 = 12,678/x
  3. Step 3: Cross multiply
    8,932x = 12,678 × 12,678
  4. Step 4: Simplify right side
    8,932x = 160,731,684
  5. Step 5: Solve for x
    x = 160,731,684/8,932
  6. Step 6: Final answer
    x = 17,995.04

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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.