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Finding the Third Proportional to 7,673 and 12,308

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Solution

The third proportional to 7,673 and 12,308 is: 19,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673 : 12,308 = 12,308 : x
  2. Step 2: Convert to fraction form
    7,673/12,308 = 12,308/x
  3. Step 3: Cross multiply
    7,673x = 12,308 × 12,308
  4. Step 4: Simplify right side
    7,673x = 151,486,864
  5. Step 5: Solve for x
    x = 151,486,864/7,673
  6. Step 6: Final answer
    x = 19,742.85

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.