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Finding the Third Proportional to 12,162 and 17,392.50

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Solution

The third proportional to 12,162 and 17,392.50 is: 24,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162 : 17,392.50 = 17,392.50 : x
  2. Step 2: Convert to fraction form
    12,162/17,392.50 = 17,392.50/x
  3. Step 3: Cross multiply
    12,162x = 17,392.50 × 17,392.50
  4. Step 4: Simplify right side
    12,162x = 302,499,056.25
  5. Step 5: Solve for x
    x = 302,499,056.25/12,162
  6. Step 6: Final answer
    x = 24,872.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.