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Finding the Third Proportional to 4,176.56 and 6,467.98

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Solution

The third proportional to 4,176.56 and 6,467.98 is: 10,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.56 : 6,467.98 = 6,467.98 : x
  2. Step 2: Convert to fraction form
    4,176.56/6,467.98 = 6,467.98/x
  3. Step 3: Cross multiply
    4,176.56x = 6,467.98 × 6,467.98
  4. Step 4: Simplify right side
    4,176.56x = 41,834,720.81
  5. Step 5: Solve for x
    x = 41,834,720.81/4,176.56
  6. Step 6: Final answer
    x = 10,016.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.