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Finding the Third Proportional to 4,175.30 and 6,493.92

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Solution

The third proportional to 4,175.30 and 6,493.92 is: 10,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.30 : 6,493.92 = 6,493.92 : x
  2. Step 2: Convert to fraction form
    4,175.30/6,493.92 = 6,493.92/x
  3. Step 3: Cross multiply
    4,175.30x = 6,493.92 × 6,493.92
  4. Step 4: Simplify right side
    4,175.30x = 42,171,021.32
  5. Step 5: Solve for x
    x = 42,171,021.32/4,175.30
  6. Step 6: Final answer
    x = 10,100.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.