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Finding the Third Proportional to 16,940 and 44,964.50

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Solution

The third proportional to 16,940 and 44,964.50 is: 119,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940 : 44,964.50 = 44,964.50 : x
  2. Step 2: Convert to fraction form
    16,940/44,964.50 = 44,964.50/x
  3. Step 3: Cross multiply
    16,940x = 44,964.50 × 44,964.50
  4. Step 4: Simplify right side
    16,940x = 2,021,806,260.25
  5. Step 5: Solve for x
    x = 2,021,806,260.25/16,940
  6. Step 6: Final answer
    x = 119,351.02

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.