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Finding the Third Proportional to 6,448.50 and 11,496.38

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Solution

The third proportional to 6,448.50 and 11,496.38 is: 20,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.50 : 11,496.38 = 11,496.38 : x
  2. Step 2: Convert to fraction form
    6,448.50/11,496.38 = 11,496.38/x
  3. Step 3: Cross multiply
    6,448.50x = 11,496.38 × 11,496.38
  4. Step 4: Simplify right side
    6,448.50x = 132,166,638.14
  5. Step 5: Solve for x
    x = 132,166,638.14/6,448.50
  6. Step 6: Final answer
    x = 20,495.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.