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Finding the Third Proportional to 16,864 and 40,848

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Solution

The third proportional to 16,864 and 40,848 is: 98,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864 : 40,848 = 40,848 : x
  2. Step 2: Convert to fraction form
    16,864/40,848 = 40,848/x
  3. Step 3: Cross multiply
    16,864x = 40,848 × 40,848
  4. Step 4: Simplify right side
    16,864x = 1,668,559,104
  5. Step 5: Solve for x
    x = 1,668,559,104/16,864
  6. Step 6: Final answer
    x = 98,942.07

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.