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Finding the Third Proportional to 7,998 and 17,451.75

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Solution

The third proportional to 7,998 and 17,451.75 is: 38,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998 : 17,451.75 = 17,451.75 : x
  2. Step 2: Convert to fraction form
    7,998/17,451.75 = 17,451.75/x
  3. Step 3: Cross multiply
    7,998x = 17,451.75 × 17,451.75
  4. Step 4: Simplify right side
    7,998x = 304,563,578.06
  5. Step 5: Solve for x
    x = 304,563,578.06/7,998
  6. Step 6: Final answer
    x = 38,079.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.