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Finding the Third Proportional to 7,694 and 16,918

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Solution

The third proportional to 7,694 and 16,918 is: 37,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694 : 16,918 = 16,918 : x
  2. Step 2: Convert to fraction form
    7,694/16,918 = 16,918/x
  3. Step 3: Cross multiply
    7,694x = 16,918 × 16,918
  4. Step 4: Simplify right side
    7,694x = 286,218,724
  5. Step 5: Solve for x
    x = 286,218,724/7,694
  6. Step 6: Final answer
    x = 37,200.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.