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Finding the Third Proportional to 16,964.44 and 19,213.03

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Solution

The third proportional to 16,964.44 and 19,213.03 is: 21,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.44 : 19,213.03 = 19,213.03 : x
  2. Step 2: Convert to fraction form
    16,964.44/19,213.03 = 19,213.03/x
  3. Step 3: Cross multiply
    16,964.44x = 19,213.03 × 19,213.03
  4. Step 4: Simplify right side
    16,964.44x = 369,140,569.81
  5. Step 5: Solve for x
    x = 369,140,569.81/16,964.44
  6. Step 6: Final answer
    x = 21,759.67

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.